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 A347808 #10 Sep 14 2021 20:49:30 %S A347808 1,1,1,6,7,8,19,25,37,56,76,122,170,233,347,494,700,991,1415,2021, %T A347808 2855,4054,5751,8164,11585,16406,23285,33032,46814,66375,94119,133445, %U A347808 189193,268231,380287,539184,764422,1083722,1536479,2178349,3088333,4378472,6207557 %N A347808 Expansion of (theta_3(x) - 1)^5 / (16 * (3 - theta_3(x))). %C A347808 Number of compositions (ordered partitions) of n into 5 or more squares. %H A347808 <a href="/index/Su#ssq">Index entries for sequences related to sums of squares</a> %F A347808 a(n) = Sum_{k=5..n} A337165(n,k). - _Alois P. Heinz_, Sep 14 2021 %p A347808 b:= proc(n, t) option remember; `if`(n=0, `if`(t=0, 1, 0), add(( %p A347808 s->`if`(s>n, 0, b(n-s, max(0, t-1))))(j^2), j=1..isqrt(n))) %p A347808 end: %p A347808 a:= n-> b(n, 5): %p A347808 seq(a(n), n=5..47); # _Alois P. Heinz_, Sep 14 2021 %t A347808 nmax = 47; CoefficientList[Series[(EllipticTheta[3, 0, x] - 1)^5/(16 (3 - EllipticTheta[3, 0, x])), {x, 0, nmax}], x] // Drop[#, 5] & %Y A347808 Cf. A000290, A006456, A337165, A347805, A347806, A347807, A347809. %K A347808 nonn %O A347808 5,4 %A A347808 _Ilya Gutkovskiy_, Sep 14 2021