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A154287 (L)-sieve transform of {1,4,9,16,...,n^2,...}=A000290. +0
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1, 3, 6, 9, 13, 18, 23, 29, 35, 42, 49, 57, 66, 75, 85, 95, 106, 117, 129, 141, 154, 167, 181, 195, 210, 225, 241, 258, 275, 293, 311, 330, 349, 369, 389, 410, 431, 453, 475, 498, 521, 545, 569 (list; graph; listen)
OFFSET

1,2

COMMENT

See A152009 for the definition of the (L)-sieve transform.

It appears that the first difference of {a(n)} starts with 2, followed by two occurrences of each consecutive integer except for the powers of 2, which occur only once, i.e. (2,3,3,4,5,5,6,6,7,7,8,9,9,...}. This has been verified for several hundred terms.

CROSSREFS

A000290, A152009

Sequence in context: A032782 A076523 A129403 this_sequence A092847 A143975 A005488

Adjacent sequences: A154284 A154285 A154286 this_sequence A154288 A154289 A154290

KEYWORD

nonn

AUTHOR

John W. Layman (layman(AT)math.vt.edu), Jan 06 2009

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Last modified December 7 23:50 EST 2009. Contains 170430 sequences.


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