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A006859 From paths in the plane.
(Formerly M5210)
0
1, 30, 330, 2145, 10010, 37128, 116280, 319770, 793155, 1808950, 3848130, 7719075, 14725620, 26898080, 47303520, 80454132, 132835365, 213578430, 335304970, 515175045, 776173134, 1148670600, 1672307000, 2398236750, 3391791975, 4735616886, 6533333730, 8913805255 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

REFERENCES

G. Kreweras and H. Niederhausen, Solution of an enumerative problem connected with lattice paths, European J. Combin., 2 (1981), 55-60.

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

LINKS

Table of n, a(n) for n=0..27.

FORMULA

G.f.: (1+x)(1 +19 x +56 x^2 +19 x^3 + x^4 ) / (1-x)^10.

a(n) = (n+1)*(n+2)^2*(n+3)^2*(n+4)*(2*n+3)*(2*n+5)*(2*n+7)/15120. - Peter Bala, Oct 11 2011

CROSSREFS

Sequence in context: A141216 A159543 A227689 * A107967 A115500 A214085

Adjacent sequences:  A006856 A006857 A006858 * A006860 A006861 A006862

KEYWORD

nonn,easy

AUTHOR

Simon Plouffe

STATUS

approved

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Last modified February 23 06:39 EST 2018. Contains 299473 sequences. (Running on oeis4.)