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Search: id:A154588
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A154588 Numbers that can be expressed as the sum of the first j integer numbers or the first k nonprime numbers, with j and k >=1. +0
1
1, 28, 435, 10296, 415416, 1062153, 3703281, 426626655, 782002378, 102886232631, 1636197988776, 2749764593278, 61972139524851, 813577626225078, 1604393353172781, 3603538956517305, 44000970048906445, 83556903098276790, 208955344344897381 (list; graph; listen)
OFFSET

1,2

COMMENT

The indices (j,k) where A000217(j) = A051349(k) are (1,1), (7,5), (29,23), (143,123), (911,823), (1457,1327), (2721,2501), (29210,27488), (39547,37295) , (453621,433381) , (1808976,1737137) , (2345107,2253859) , (11133026,10746793), (40338012,39053670), (56646153,54880858) , (84894510,82314170) , (296651209,288273745), (408795555,397457085), (646460121,628975505) [Donovan Johnson (donovan.johnson(AT)yahoo.com), 11 Sep 2009]

FORMULA

(A000217 INTERSECT A051349) MINUS {0}. [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jan 21 2009]

EXAMPLE

28 = A000217(7) = A051349(5).

435 = A000217(19) = A051349(23).

10296 = A000217(143) = A051349(123).

CROSSREFS

A007504, A051349, A066527, A133784, A154587

Sequence in context: A093974 A121803 A022656 this_sequence A125485 A054337 A009685

Adjacent sequences: A154585 A154586 A154587 this_sequence A154589 A154590 A154591

KEYWORD

nonn

AUTHOR

Paolo P. Lava & Giorgio Balzarotti (ppl(AT)spl.at), Jan 16 2009, Jan 19 2009

EXTENSIONS

Replaced 10256 by 10296 and added two more terms. R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jan 21 2009

Extended beyond a(9) by Donovan Johnson (donovan.johnson(AT)yahoo.com), Sep 11 2009

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Last modified December 1 19:22 EST 2009. Contains 167811 sequences.


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