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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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

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*(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

Cf. A329779, A329780, A329781, A329782, A329783.

Sequence in context: A186345 A285976 A190373 * A010387 A010411 A047209

Adjacent sequences:  A329781 A329782 A329783 * A329785 A329786 A329787

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Nov 29 2019

STATUS

approved

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Last modified April 9 18:44 EDT 2020. Contains 333362 sequences. (Running on oeis4.)