A329784 Numbers that are either +-1 (mod 5) or +-22 (mod 55).

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

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.

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

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