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A161993 A006005 (odd primes plus 1) convolved with all of its regularly "aerated" variants. +0
1
1, 3, 8, 19, 43, 85, 171, 315, 580, 1022, 1766, 2982, 4959 (list; graph; listen)
OFFSET

1,2

COMMENT

Refer to A161779 for the analogous sequence based on the factorials.

FORMULA

Given A006005 (odd primes plus 1 = odd non-composite numbers) = a, then b

= the aerated variant: (1, 0, 3, 0, 5, 0, 7,...); c = (1, 0, 0, 3, 0, 0, 5,...)

and so on such that A161993 = the infinite convolution product: a*b*c*...

CROSSREFS

A006005, A161779

Adjacent sequences: A161990 A161991 A161992 this_sequence A161994 A161995 A161996

Sequence in context: A079583 A099050 A065352 this_sequence A008466 A102712 A054480

KEYWORD

nonn

AUTHOR

Gary W. Adamson (qntmpkt(AT)yahoo.com), Jun 24 2009

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Last modified November 8 20:39 EST 2009. Contains 166234 sequences.


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