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Module:Sequence: Difference between revisions

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local p = {}
local p = {}
local getArgs = require('Module:Arguments').getArgs


function p.contains(seq, n)
function p.contains(seq, n)
Line 12: Line 14:
return false
return false
end
end
function p.get_term(frame)
local args = getArgs(frame)
return p._get_term(args[1], tonumber (args[2]))
end
function p._get_term(seq, n)
local sequences = {
["odd_limit_diff"] = p.odd_limit_diff,
["zeta_peak"] = p.zeta_peak,
["zeta_integral"] = p.zeta_integral,
["zeta_gap"] = p.zeta_gap,
["square_superparticulars"] = p.square_superparticulars
}
return sequences[seq][n]
end
-- OEIS A072451
-- Number of odd terms in the reduced residue system of 2*n-1
-- Corresponds to the number of new interval pairs between the (2n-3)-odd-limit
-- and the (2n-1)-odd-limit, assuming the 1-odd-limit has 1 "pair" of intervals.
p.odd_limit_diff = {
1, 1, 2, 3, 3, 5, 6, 4, 8, 9,
6, 11, 10, 9, 14, 15, 10, 12, 18, 12,
20, 21, 12, 23, 21, 16, 26, 20, 18, 29,
30, 18, 24, 33, 22, 35, 36, 20, 30, 39,
27, 41, 32, 28, 44, 36, 30, 36, 48, 30,
50, 51, 24, 53, 54, 36, 56, 44, 36, 48,
55, 40, 50, 63, 42, 65, 54, 36, 68, 69,
46, 60, 56
}


-- OEIS A117536
-- OEIS A117536
p.zeta_peak = {
p.zeta_peak = {
0, 1, 2, 3, 4,
0, 1, 2, 3, 4, 5, 7,
5, 7, 10, 12, 19,
10, 12, 19, 22, 27, 31, 41, 53, 72, 99,
22, 27, 31, 41, 53,
118, 130, 152, 171, 217, 224, 270, 342, 422, 441, 494, 742, 764, 935, 954,
72, 99, 118, 130, 152,
1012, 1106, 1178, 1236, 1395, 1448, 1578, 2460, 2684, 3395, 5585, 6079, 7033, 8269, 8539,
171, 217, 224, 270, 342,
11664, 14348, 16808, 28742, 34691,
422, 441, 494, 742, 764,
-- unconfirmed data from [[The Riemann zeta function and tuning #Zeta EDO lists]]
935, 954, 1012, 1106, 1178,
36269, 57578, 58973, 95524,
1236, 1395, 1448, 1578, 2460,
102557, 112985, 148418, 212147, 241200
2684, 3395, 5585, 6079, 7033,
}
8269, 8539, 11664, 14348, 16808,
 
28742, 34691,
p.zeta_peak_integer = {
-- unconfirmed data from [[The Riemann zeta function and tuning#Zeta EDO lists]]
0, 1, 2, 3, 5, 7,
36269, 57578, 58973, 95524, 102557,
10, 12, 19, 22, 31, 41, 53, 87,
112985, 148418, 212147, 241200
118, 130, 171, 224, 270, 311, 472, 494, 742,
1065, 1106, 1395, 1578, 2460, 2684, 3566, 4231, 4973, 5585, 8269, 8539,
14124, 14348, 16808, 28742, 30631, 34691, 36269, 57578, 58973
}
}


-- OEIS A117538
-- OEIS A117538
p.zeta_integral = {
p.zeta_integral = {
2, 5, 7, 12, 19,
2, 5, 7,
31, 41, 53, 72, 130,
12, 19, 31, 41, 53, 72,
171, 224, 270, 764, 954,
130, 171, 224, 270, 764, 954,
1178, 1395, 1578, 2684, 3395,
1178, 1395, 1578, 2684, 3395, 7033, 8269, 8539,
7033, 8269, 8539, 14348, 16808,
14348, 16808, 36269, 58973
36269, 58973
}
}


-- OEIS A117537
-- OEIS A117537
p.zeta_gap = {
p.zeta_gap = {
2, 3, 5, 7, 12,
2, 3, 5, 7,
19, 31, 46, 53, 72,
12, 19, 31, 46, 53, 72,
270, 311, 954, 1178, 1308,
270, 311, 954,
1395, 1578, 3395, 4190,
1178, 1308, 1395, 1578, 3395, 4190,
-- unconfirmed data from [[The Riemann zeta function and tuning#Zeta EDO lists]]
-- unconfirmed data from [[The Riemann zeta function and tuning#Zeta EDO lists]]
8539, 14348, 58973, 95524
8539,
14348, 58973, 95524
}
}


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-- counted by OEIS A117582
-- counted by OEIS A117582
-- see https://github.com/lucasaugustus/oeis/blob/main/stormer.py
-- see https://github.com/lucasaugustus/oeis/blob/main/stormer.py
p.square_superpartuculars = {
p.square_superparticulars = {
[2] = {},
[2] = {},
[3] = {2, 3},
[3] = {2, 3},
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