A341987 Number of ways to write n as an ordered sum of 8 primes (counting 1 as a prime).

1, 8, 36, 112, 274, 560, 1016, 1688, 2647, 3928, 5580, 7568, 9990, 12832, 16332, 20336, 25167, 30472, 37004, 44136, 53054, 62272, 73788, 85240, 100276, 114752, 134072, 151144, 174834, 194616, 224304, 247240, 283467, 308448, 352668, 381032, 436368, 467272, 533520

Offset

8,2

Links

Table of n, a(n) for n=8..46.

Formula

G.f.: ( x + Sum_{k>=1} x^prime(k) )^8.

Mathematica

nmax = 46; CoefficientList[Series[(x + Sum[x^Prime[k], {k, 1, nmax}])^8, {x, 0, nmax}], x] // Drop[#, 8] &

Crossrefs

Cf. A008578, A280917, A283762, A340964, A341951, A341979, A341982, A341983, A341984, A341985, A341986, A341988, A341989.

Sequence in context: A006636 A325656 A357716 * A341068 A092365 A014343

Adjacent sequences: A341984 A341985 A341986 * A341988 A341989 A341990

Keyword

nonn

Author

Ilya Gutkovskiy, Feb 24 2021

Status

approved