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A014352
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Four-fold exponential convolution of primes with themselves.
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5
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16, 96, 592, 3680, 22888, 141776, 872296, 5320160, 32116168, 191634736, 1128985544, 6560592320, 37577101096, 212032652336, 1178400630472, 6450745788064, 34795044655624, 185041871051312, 971039709861320, 5033044804735360, 25793494764933224, 130834363186542320
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OFFSET
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0,1
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LINKS
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FORMULA
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MAPLE
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b:= proc(n, k) option remember; `if`(k=1,
ithprime(n+1), add(b(j, floor(k/2))*
b(n-j, ceil(k/2))*binomial(n, j), j=0..n))
end:
a:= n-> b(n, 4):
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MATHEMATICA
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b[n_, k_] := b[n, k] = If[k == 1, Prime[n + 1], Sum[b[j, Floor[k/2]] b[n - j, Ceiling[k/2]] Binomial[n, j], {j, 0, n}]];
a[n_] := b[n, 4];
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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