id:A046676 - OEIS Search Results

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Expansion of 1 + Sum x^{p_1+p_2+...+p_k}/((1-x)(1-x^2)(1-x^3)...(1-x^k)), k=1..inf (where p_i are the primes).

+0
2

1, 0, 1, 1, 1, 2, 2, 3, 3, 4, 5, 6, 7, 9, 10, 12, 14, 17, 19, 23, 26, 31, 35, 41, 46, 54, 60, 69, 78, 89, 99, 113, 126, 143, 159, 179, 199, 224, 248, 277, 307, 343, 378, 421, 464, 515, 567, 628, 690, 763, 837, 923, 1012, 1115, 1219, 1340, 1465, 1607 (list; graph; listen)

	OFFSET	`0,6`
	REFERENCES	`B. C. Berndt and B. M. Wilson, Chapter 5 of Ramanujan's second notebook, pp. 49-78 of Analytic Number Theory (Philadelphia, 1980), Lect. Notes Math. 899, 1981, see Entry 29.`
	CROSSREFS	`Differs from A000607 at the 20th term.` `Sequence in context: A112021 A000607 A114372 this_sequence A003114 A026823 A025148` `Adjacent sequences: A046673 A046674 A046675 this_sequence A046677 A046678 A046679`
	KEYWORD	`nonn`
	AUTHOR	`N. J. A. Sloane (njas(AT)research.att.com).`

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Last modified November 24 23:16 EST 2009. Contains 167481 sequences.

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