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A329784
Numbers that are either +-1 (mod 5) or +-22 (mod 55).
5
1, 4, 6, 9, 11, 14, 16, 19, 21, 22, 24, 26, 29, 31, 33, 34, 36, 39, 41, 44, 46, 49, 51, 54, 56, 59, 61, 64, 66, 69, 71, 74, 76, 77, 79, 81, 84, 86, 88, 89, 91, 94, 96, 99, 101, 104, 106, 109, 111, 114, 116, 119, 121, 124, 126, 129, 131, 132, 134, 136, 139
OFFSET
1,2
LINKS
G. E. Andrews, Further Problems on Partitions, The American Mathematical Monthly, Vol. 94, No. 5 (1987), 437-439.
Index entries for linear recurrences with constant coefficients, signature (1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,-1).
FORMULA
From Colin Barker, Dec 01 2019: (Start)
G.f.: x*(1 + 3*x + 2*x^2 + 3*x^3 + 2*x^4 + 3*x^5 + 2*x^6 + 3*x^7 + 2*x^8 + x^9 + 2*x^10 + 2*x^11 + 3*x^12 + 2*x^13 + 2*x^14 + x^15 + 2*x^16 + 3*x^17 + 2*x^18 + 3*x^19 + 2*x^20 + 3*x^21 + 2*x^22 + 3*x^23 + x^24) / ((1 - x)^2*(1 + x)*(1 - x + x^2)*(1 + x^2)*(1 + x + x^2)*(1 - x^2 + x^4)*(1 + x^4)*(1 - x^4 + x^8)).
a(n) = a(n-1) + a(n-24) - a(n-25) for n>25.
(End)
CROSSREFS
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, Nov 29 2019
STATUS
approved