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A147544 Coefficient of x^n in product (1+x)(1+prime(1)x)(1+(prime(2)x^2)(1+prime(3)x^3)... 0
3, 5, 14, 28, 57, 126, 239, 436, 830, 1616, 2775, 4845, 8271, 14129, 25058, 41362, 65524, 107673, 172747, 271233, 439559, 680689, 1028288, 1560216, 2382751, 3507073, 5212056, 7904338, 11382385, 16249971, 23381150, 32417686, 45272405 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

The sequence is an inverse polynomial-to-product transform of the prime sequence (cf. A147541)

LINKS

Table of n, a(n) for n=1..33.

EXAMPLE

The prime sequence runs 2,3,5,7,11,... and the product (1+x)(1+2x)(1+3x)(1+5x)... equals 1+3x+5x^2+14x^3+..., so the sequence begins 3,5,14,...

CROSSREFS

Cf. A000040, A147541

Sequence in context: A026777 A007136 A145974 * A192478 A198785 A222380

Adjacent sequences:  A147541 A147542 A147543 * A147545 A147546 A147547

KEYWORD

nonn

AUTHOR

Neil Fernandez, Nov 06 2008

STATUS

approved

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Last modified September 21 19:57 EDT 2020. Contains 337273 sequences. (Running on oeis4.)