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A014351 Four-fold exponential convolution of primes with themselves (divided by 8). 1
2, 12, 74, 460, 2861, 17722, 109037, 665020, 4014521, 23954342, 141123193, 820074040, 4697137637, 26504081542, 147300078809, 806343223508, 4349380581953, 23130233881414, 121379963732665, 629130600591920, 3224186845616653, 16354295398317790, 82187373706636505 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..1000

MAPLE

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)/8:

seq(a(n), n=0..30);  # Alois P. Heinz, Jun 07 2018

MATHEMATICA

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]/8;

a /@ Range[0, 30] (* Jean-Fran├žois Alcover, Nov 16 2020, after Alois P. Heinz *)

CROSSREFS

Cf. A014352.

Sequence in context: A020049 A020004 A078469 * A074616 A006936 A052875

Adjacent sequences:  A014348 A014349 A014350 * A014352 A014353 A014354

KEYWORD

nonn

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified October 18 10:53 EDT 2021. Contains 348067 sequences. (Running on oeis4.)