A341988 Number of ways to write n as an ordered sum of 9 primes (counting 1 as a prime).

1, 9, 45, 156, 423, 954, 1887, 3384, 5661, 8935, 13446, 19332, 26838, 36126, 47691, 61668, 78696, 98631, 122665, 150516, 184230, 222438, 268146, 318564, 379383, 445572, 525942, 610344, 712872, 817290, 947166, 1075680, 1238148, 1391475, 1591236, 1773684, 2022241

Offset

9,2

Links

Table of n, a(n) for n=9..45.

Formula

G.f.: ( x + Sum_{k>=1} x^prime(k) )^9.

Mathematica

nmax = 45; CoefficientList[Series[(x + Sum[x^Prime[k], {k, 1, nmax}])^9, {x, 0, nmax}], x] // Drop[#, 9] &

Crossrefs

Cf. A008578, A280917, A283762, A340965, A341719, A341980, A341982, A341983, A341984, A341985, A341986, A341987, A341989.

Sequence in context: A212142 A095166 A357717 * A341069 A126899 A162602

Adjacent sequences: A341985 A341986 A341987 * A341989 A341990 A341991

Keyword

nonn

Author

Ilya Gutkovskiy, Feb 24 2021

Status

approved