Voozh

A079087

Maximum exponent in prime factorization of (prime(n)+1)*(prime(n+1)+1)/4.

1, 1, 2, 3, 1, 2, 2, 3, 2, 4, 4, 1, 1, 4, 4, 4, 1, 1, 3, 2, 3, 4, 3, 2, 2, 2, 3, 3, 1, 6, 7, 2, 1, 3, 2, 2, 1, 3, 2, 3, 2, 5, 5, 2, 2, 3, 5, 5, 1, 2, 3, 3, 2, 3, 2, 4, 3, 3, 1, 1, 2, 3, 3, 2, 1, 1, 2, 2, 2, 2, 3, 5, 3, 1, 7, 6, 1, 1, 1, 2, 1, 3, 3, 2, 3, 3, 2, 1, 3, 4, 5, 6, 3, 3, 3, 3, 3, 2, 1, 1, 2, 3, 2, 1, 2

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OFFSET

1,3

LINKS

Reinhard Zumkeller, Table of n, a(n) for n = 1..10000

FORMULA

a(n) = A051903(A079079(n)).

MATHEMATICA

With[{pms=Times@@#/4&/@Partition[Prime[Range[110]]+1, 2, 1]}, Max[ Transpose[ FactorInteger[#]][[2]]]&/@pms] (* Harvey P. Dale, Nov 10 2011 *)

PROG

(Haskell)

a079087 = a051903 . a079079 -- Reinhard Zumkeller, Oct 08 2012