This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A373583 #27 Jun 11 2024 15:49:30 %S A373583 1,1,1,1,17,21,25,29,289,397,521,661,4913,7229,10137,13701,83521, %T A373583 129133,190249,269877,1419857,2280125,3492281,5149701,24137569, %U A373583 39950221,63153481,96159061,410338673,696126557,1129839065,1767607973,6975757441,12080257069 %N A373583 Expansion of 1 / ( (1 - 16*x^4) * (1 - x/(1 - 16*x^4)^(1/4)) ). %F A373583 a(4*n) = 17^n for n >= 0. %F A373583 a(n) = Sum_{k=0..floor(n/4)} 16^k * binomial(n/4,k). %F A373583 a(n) == 1 (mod 4). %o A373583 (PARI) a(n) = sum(k=0, n\4, 16^k*binomial(n/4, k)); %Y A373583 Cf. A000079, A100095, A373278, A373621. %Y A373583 Cf. A373627. %K A373583 nonn %O A373583 0,5 %A A373583 _Seiichi Manyama_, Jun 11 2024