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A050490 C(n)*(11n+1) where C(n)=Catalan numbers (A000108). 0
1, 12, 46, 170, 630, 2352, 8844, 33462, 127270, 486200, 1864356, 7171892, 27665596, 106977600, 414538200, 1609344270, 6258307590, 24373220520, 95050101300, 371125269900, 1450670612820 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

REFERENCES

A. H. Beiler, Recreations in the Theory of Numbers, Dover, N.Y., 1964, pp. 194-196.

LINKS

Table of n, a(n) for n=0..20.

FORMULA

5*(n+1)*a(n) +(-29*n-1)*a(n-1) +18*(2*n-3)*a(n-2)=0. - R. J. Mathar, Feb 13 2015

-(n+1)*(11*n-10)*a(n) +2*(11*n+1)*(2*n-1)*a(n-1)=0. - R. J. Mathar, Feb 13 2015

MATHEMATICA

Table[CatalanNumber[n](11n+1), {n, 0, 20}] (* Harvey P. Dale, Jul 12 2018 *)

CROSSREFS

Cf. A017281, A027810, A000108.

Sequence in context: A199211 A249923 A100183 * A169881 A200669 A197471

Adjacent sequences:  A050487 A050488 A050489 * A050491 A050492 A050493

KEYWORD

easy,nonn

AUTHOR

Barry E. Williams, Dec 27 1999

STATUS

approved

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Last modified October 22 13:19 EDT 2019. Contains 328318 sequences. (Running on oeis4.)