The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A135854

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A135854

a(n) = (n+1)*(2^n+1) for n > 0 with a(0)=1.
(history; published version)

#37 by Michel Marcus at Tue Dec 14 00:25:11 EST 2021

STATUS

reviewed

approved

#36 by Michael De Vlieger at Mon Dec 13 22:33:57 EST 2021

STATUS

proposed

reviewed

#35 by Jon E. Schoenfield at Mon Dec 13 21:35:22 EST 2021

STATUS

editing

proposed

#34 by Jon E. Schoenfield at Mon Dec 13 21:35:20 EST 2021

FORMULA

G.f.: 1 - x*(-6 + 21*x - 24*x^2 + 8*x^3) / ( (2*x-1)^2*(x-1)^2 ). - R. J. Mathar, Apr 04 2012

STATUS

proposed

editing

#33 by Jon E. Schoenfield at Mon Dec 13 18:35:36 EST 2021

STATUS

editing

proposed

#32 by Jon E. Schoenfield at Mon Dec 13 18:35:34 EST 2021

NAME

a(n) = (n+1)*(2^n+1) for n > 0 with a(0)=1.

FORMULA

G.f.: 1 -x*(-6 + 21*x - 24*x^2 + 8*x^3) / ( (2*x-1)^2*(x-1)^2 ). - R. J. Mathar, Apr 04 2012

G.f.: (1 - 8*x^2 + 12*x^3 - 4*x^4)/((1-x)^2*(1-2*x)^2). - L. Edson Jeffery, Jan 14 2014

STATUS

proposed

editing

#31 by Stefano Spezia at Mon Dec 13 16:27:05 EST 2021

STATUS

editing

proposed

#30 by Stefano Spezia at Mon Dec 13 16:26:59 EST 2021

FORMULA

E.g.f.: exp(x)*(1 + x + exp(x)*(1 + 2*x)) - 1. - Stefano Spezia, Dec 13 2021

STATUS

approved

editing

#29 by N. J. A. Sloane at Thu Dec 08 10:09:22 EST 2016

STATUS

editing

approved

#28 by N. J. A. Sloane at Thu Dec 08 10:09:11 EST 2016

NAME

Row sums of triangle A135853a(n) = (n+1)*(2^n+1) for n>0 with a(0)=1.

CROSSREFS

Cf. A135853, A215149.

Row sums of triangle A135853.

STATUS

proposed

editing