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A143689 a(n) = A000326(n+1) - 3n. +0
2
1, 2, 6, 13, 23, 36, 52, 71, 93, 118, 146, 177, 211, 248 (list; graph; listen)
OFFSET

0,2

COMMENT

Equals left border of triangle A033292

FORMULA

a(n) = A000326(n+1) - 3n. A000326 = pentagonal numbers. Equals binomial transform of [1, 1, 3, 0, 0, 0,...].

a(n) = (3n^2-n+2)/2 = A027599(n+1)/2. - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Sep 03 2008

EXAMPLE

a(4) = 23 = A000326(5) - 12 = (35 - 12).

a(4) = 23 = (1, 4, 6, 4, 1) dot (1, 1, 3, 0, 0) = (1 + 4 + 18 + 0 + 0).

CROSSREFS

Cf. A000326, A033292.

Adjacent sequences: A143686 A143687 A143688 this_sequence A143690 A143691 A143692

Sequence in context: A026052 A049616 A064960 this_sequence A011891 A003600 A000135

KEYWORD

nonn

AUTHOR

Gary W. Adamson (qntmpkt(AT)yahoo.com), Aug 29 2008

EXTENSIONS

Corrected index of A000326 in definition, formula and example. - R. J. Mathar, Sep 03 2008

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


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