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A360791
Sum of all prime encoded complete partitions of n.
3
1, 2, 4, 14, 28, 94, 218, 588, 1366, 3618, 8134, 20320, 45592, 105810, 236960, 539392, 1174530, 2612436, 5628606, 12226350, 26130568, 55938126, 117997774, 249680514, 523032956, 1094500962, 2275886514, 4727461792, 9762182762, 20148991512, 41403646304, 84961079990
OFFSET
0,2
LINKS
FORMULA
a(n) = Sum_{k=1..A126796(n)} A258118(n,k).
MAPLE
b:= proc(n, i) option remember; `if`(i<2, 2^n, `if`(n<2*i-1,
b(n, iquo(n+1, 2)), b(n, i-1)+b(n-i, i)*ithprime(i)))
end:
a:= n-> b(n, iquo(n+1, 2)):
seq(a(n), n=0..32);
CROSSREFS
Row sums of A258118.
Sequence in context: A323656 A338740 A365544 * A304341 A372941 A263987
KEYWORD
nonn
AUTHOR
Alois P. Heinz, Feb 21 2023
STATUS
approved