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 A340962 #8 Jan 31 2021 22:12:06 %S A340962 1,6,15,26,45,72,106,150,186,236,306,366,455,540,636,782,912,1056, %T A340962 1236,1410,1617,1896,2106,2400,2696,2976,3348,3716,4026,4446,4917, %U A340962 5340,5982,6380,7017,7476,8377,8640,9765,9936,11202,11496,13132,12930,15117,14672,17178,16800,19696 %N A340962 Number of ways to write n as an ordered sum of 6 primes. %H A340962 Alois P. Heinz, <a href="/A340962/b340962.txt">Table of n, a(n) for n = 12..10000</a> %F A340962 G.f.: (Sum_{k>=1} x^prime(k))^6. %p A340962 b:= proc(n, k) option remember; local r, p; r, p:= 0, 2; %p A340962 if n=0 then `if`(k=0, 1, 0) elif k<1 then 0 else %p A340962 while p<=n do r:= r+b(n-p, k-1); p:= nextprime(p) od; r fi %p A340962 end: %p A340962 a:= n-> b(n, 6): %p A340962 seq(a(n), n=12..60); # _Alois P. Heinz_, Jan 31 2021 %t A340962 nmax = 60; CoefficientList[Series[Sum[x^Prime[k], {k, 1, nmax}]^6, {x, 0, nmax}], x] // Drop[#, 12] & %Y A340962 Column k=6 of A121303. %Y A340962 Cf. A000040, A010051, A073610, A098238, A259196, A340960, A340961, A340963, A340964, A340965, A340966. %K A340962 nonn %O A340962 12,2 %A A340962 _Ilya Gutkovskiy_, Jan 31 2021