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A329783 Numbers that are either +-2 (mod 5) or +-11 (mod 55). 3
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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..61.

G. E. Andrews, Further Problems on Partitions, The American Mathematical Monthly, Vol. 94, No. 5 (1987), 437-439.

FORMULA

Conjectures 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

Cf. A329779-A329784.

Sequence in context: A323003 A051468 A002274 * A287675 A273944 A214324

Adjacent sequences:  A329780 A329781 A329782 * A329784 A329785 A329786

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Nov 29 2019

STATUS

approved

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Last modified April 6 13:18 EDT 2020. Contains 333276 sequences. (Running on oeis4.)