The On-Line Encyclopedia of Integer Sequences (OEIS)

The OEIS is supported by the many generous donors to the OEIS Foundation.

Revision History for A067301

(Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
Showing all changes.

A067301

One eighth of fourth column of triangle A067298.
(history; published version)

#5 by Wesley Ivan Hurt at Sun Jun 26 04:25:27 EDT 2022

STATUS

editing

approved

#4 by Wesley Ivan Hurt at Sun Jun 26 04:25:07 EDT 2022

FORMULA

a(n) = A067298(n+3, 3)/8.

CROSSREFS

Cf. A000108, A067298.

STATUS

approved

editing

#3 by Russ Cox at Sat Mar 31 13:20:07 EDT 2012

AUTHOR

_Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de), _, Feb 05 2002

Discussion

Sat Mar 31

13:20

OEIS Server: https://oeis.org/edit/global/878

#2 by N. J. A. Sloane at Fri Feb 24 03:00:00 EST 2006

FORMULA

a(n)=A067298(n+3, 3)/8.

KEYWORD

nonn,easy,new

#1 by N. J. A. Sloane at Fri May 16 03:00:00 EDT 2003

NAME

One eighth of fourth column of triangle A067298.

DATA

8, 41, 398, 4460, 53720, 677744, 8836832, 118109888, 1609484672, 22276767488, 312305704448, 4425515174912, 63285369657344, 912105965121536, 13235652537933824, 193215065765888000, 2835518953336438784

OFFSET

0,1

FORMULA

a(n)=A067298(n+3,3)/8.

G.f.: ((-3+37*x)+(3+15*x-84*x^2)*c(4*x))/(8*x*(1-2*x*c(4*x))^2), with c(x) is g.f. for A000108 (Catalan).

CROSSREFS

Cf. 3*A067300 (third column).

KEYWORD

nonn,easy

AUTHOR

Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de), Feb 05 2002

STATUS

approved