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A329783
Numbers that are either +-2 (mod 5) or +-11 (mod 55).
5
2, 3, 7, 8, 11, 12, 13, 17, 18, 22, 23, 27, 28, 32, 33, 37, 38, 42, 43, 44, 47, 48, 52, 53, 57, 58, 62, 63, 66, 67, 68, 72, 73, 77, 78, 82, 83, 87, 88, 92, 93, 97, 98, 99, 102, 103, 107, 108, 112, 113, 117, 118, 121, 122, 123, 127, 128, 132, 133, 137, 138
OFFSET
1,1
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*(2 + x + 4*x^2 + x^3 + 3*x^4 + x^5 + x^6 + 4*x^7 + x^8 + 4*x^9 + x^10 + 4*x^11 + x^12 + 4*x^13 + x^14 + 4*x^15 + x^16 + 4*x^17 + x^18 + x^19 + 3*x^20 + x^21 + 4*x^22 + x^23 + 2*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