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 A373283 #11 May 30 2024 09:52:41 %S A373283 1,7,49,343,2401,16807,117650,823543,5764801,40353607,282475249, %T A373283 1977326743,13841287201,96889010414,678223072849,4747561509943, %U A373283 33232930569601,232630513987207,1628413597910449,11398895185373143,79792266297612050,558545864083284007 %N A373283 Expansion of Sum_{k>=0} x^(7^k) / (1 - 7*x^(7^k)). %H A373283 Seiichi Manyama, <a href="/A373283/b373283.txt">Table of n, a(n) for n = 1..1000</a> %F A373283 G.f. A(x) satisfies A(x) = x/(1 - 7*x) + A(x^7). %F A373283 If n == 0 (mod 7), a(n) = 7^n + a(n/7) otherwise a(n) = 7^n. %F A373283 a(n) = Sum_{d|n} d * A373277(d). %o A373283 (PARI) b(n, k) = sumdiv(n, d, (gcd(d, k)==1)*(moebius(d)*k^(n/d)))/(k*n); %o A373283 a(n, k=7) = sumdiv(n, d, d*b(d, k)); %Y A373283 Cf. A187767, A373279, A373280, A373281, A373282. %Y A373283 Cf. A000420, A373217, A373277. %K A373283 nonn %O A373283 1,2 %A A373283 _Seiichi Manyama_, May 30 2024