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A025760 7th-order Vatalan numbers (generalization of Catalan numbers). 1
1, 1, 22, 680, 24074, 917414, 36618492, 1508943612, 63643109727, 2732349490669, 118957846271104, 5237911268468572, 232794783971436296, 10427673857731312064, 470213556090357498728, 21325335129901497816528 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..200

FORMULA

G.f.: 7/(6 + (1 - 49*x)^(1/7)

MATHEMATICA

Table[SeriesCoefficient[7/(6 + (1 - 49*x)^(1/7)), {x, 0, n}], {n, 0, 20}] (* Vincenzo Librandi, Dec 29 2012 *)

CROSSREFS

Sequence in context: A230836 A137262 A300137 * A229124 A262417 A027409

Adjacent sequences:  A025757 A025758 A025759 * A025761 A025762 A025763

KEYWORD

nonn

AUTHOR

Olivier Gérard

STATUS

approved

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Last modified February 27 11:38 EST 2021. Contains 341656 sequences. (Running on oeis4.)