|
%I #20 Mar 20 2023 13:36:52
%S 1,4,6,9,11,14,16,19,21,22,24,26,29,31,33,34,36,39,41,44,46,49,51,54,
%T 56,59,61,64,66,69,71,74,76,77,79,81,84,86,88,89,91,94,96,99,101,104,
%U 106,109,111,114,116,119,121,124,126,129,131,132,134,136,139
%N Numbers that are either +-1 (mod 5) or +-22 (mod 55).
%H G. E. Andrews, <a href="https://doi.org/10.1080/00029890.1987.12000659">Further Problems on Partitions</a>, The American Mathematical Monthly, Vol. 94, No. 5 (1987), 437-439.
%H <a href="/index/Rec#order_25">Index entries for linear recurrences with constant coefficients</a>, 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).
%F From _Colin Barker_, Dec 01 2019: (Start)
%F 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)).
%F a(n) = a(n-1) + a(n-24) - a(n-25) for n>25.
%F (End)
%Y Cf. A329779, A329780, A329781, A329782, A329783.
%K nonn
%O 1,2
%A _N. J. A. Sloane_, Nov 29 2019
|
