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A007437 Inverse Moebius transform of triangular numbers.
(Formerly M3309)
+0
11
1, 4, 7, 14, 16, 31, 29, 50, 52, 74, 67, 119, 92, 137, 142, 186, 154, 247, 191, 294, 266, 323, 277, 455, 341, 446, 430, 553, 436, 686, 497, 714, 634, 752, 674, 1001, 704, 935, 878, 1150, 862, 1298, 947, 1323, 1222, 1361, 1129, 1767, 1254, 1674, 1486, 1834 (list; graph; listen)
OFFSET

1,2

LINKS

M. Bernstein and N. J. A. Sloane, Some canonical sequences of integers, Linear Alg. Applications, 226-228 (1995), 57-72; erratum 320 (2000), 210.

N. J. A. Sloane, Transforms

FORMULA

Coefficients in expansion of Sum_{n >= 1} x^n/(1-x^n)^3.

a(n)=sum(d|n, d*(d+1)/2)= (1/2) *(sigma(n)+sigma_2(n))= (1/2) *(A000203(n)+A001157(n)) - Benoit Cloitre (benoit7848c(AT)orange.fr), Apr 08 2002

Row sums of triangles A134544 and A134545. - Gary W. Adamson (qntmpkt(AT)yahoo.com), Oct 31 2007

Row sums of triangle A134839 - Gary W. Adamson (qntmpkt(AT)yahoo.com), Nov 12 2007

CROSSREFS

Cf. A134544, A134545.

Cf. A134839.

Sequence in context: A055675 A062380 A072031 this_sequence A049766 A115759 A008370

Adjacent sequences: A007434 A007435 A007436 this_sequence A007438 A007439 A007440

KEYWORD

nonn,easy

AUTHOR

njas

EXTENSIONS

More terms from Christian G. Bower (bowerc(AT)usa.net).

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Last modified July 26 13:41 EDT 2008. Contains 142293 sequences.


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