0,5

Number of partitions of n into parts 1, 4, 5 and 6. - Ilya Gutkovskiy, May 16 2017

G. C. Greubel, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (1,0,0,1,0,0,-1,0,-1,0,0,1,0,0,1,-1).

a(n) = floor((n^3+24*n^2+165*n+720)/720 + n*[(n mod 2)=0]/48) - [(n mod 60)=3] - [(n mod 60)=39]. - Hoang Xuan Thanh, Jul 03 2025

CoefficientList[Series[1/((1-x)(1-x^4)(1-x^5)(1-x^6)), {x, 0, 60}], x] (* or *) LinearRecurrence[{1, 0, 0, 1, 0, 0, -1, 0, -1, 0, 0, 1, 0, 0, 1, -1}, {1, 1, 1, 1, 2, 3, 4, 4, 5, 6, 8, 9, 11, 12, 14, 16}, 60] (* Harvey P. Dale, Jan 17 2017 *)

(PARI) x='x+O(x^50); Vec(1/((1-x)*(1-x^4)*(1-x^5)*(1-x^6))) \\ G. C. Greubel, May 17 2017

Sequence in context: A351520 A065328 A049877 * A015737 A015745 A375476

Adjacent sequences: A029060 A029061 A029062 * A029064 A029065 A029066

nonn,easy

approved