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 A341988 #5 Feb 25 2021 08:32:56 %S A341988 1,9,45,156,423,954,1887,3384,5661,8935,13446,19332,26838,36126,47691, %T A341988 61668,78696,98631,122665,150516,184230,222438,268146,318564,379383, %U A341988 445572,525942,610344,712872,817290,947166,1075680,1238148,1391475,1591236,1773684,2022241 %N A341988 Number of ways to write n as an ordered sum of 9 primes (counting 1 as a prime). %F A341988 G.f.: ( x + Sum_{k>=1} x^prime(k) )^9. %t A341988 nmax = 45; CoefficientList[Series[(x + Sum[x^Prime[k], {k, 1, nmax}])^9, {x, 0, nmax}], x] // Drop[#, 9] & %Y A341988 Cf. A008578, A280917, A283762, A340965, A341719, A341980, A341982, A341983, A341984, A341985, A341986, A341987, A341989. %K A341988 nonn %O A341988 9,2 %A A341988 _Ilya Gutkovskiy_, Feb 24 2021