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A007465 Exponential-convolution of triangular numbers with themselves.
(Formerly M4195)
+0
1
1, 6, 30, 128, 486, 1692, 5512, 17040, 50496, 144512, 401664, 1089024, 2890240, 7529472, 19298304, 48754688, 121602048, 299827200, 731643904, 1768685568, 4239261696, 10081796096, 23805296640, 55839817728 (list; graph; listen)
OFFSET

0,2

REFERENCES

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

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.

FORMULA

G.f.:(-1-6*x^4+12*x^3-10*x^2+4*x)/(2*x-1)^5 [From Maksym Voznyy (voznyy(AT)mail.ru), Aug 10 2009]

CROSSREFS

Sequence in context: A002934 A131458 A032205 this_sequence A073389 A036068 A081895

Adjacent sequences: A007462 A007463 A007464 this_sequence A007466 A007467 A007468

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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