The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A081625 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A081625

a(n) = 2*5^n - 3^n.
(history; published version)

#22 by Charles R Greathouse IV at Thu Sep 08 08:45:09 EDT 2022

PROG

(MAGMAMagma) [2*5^n-3^n: n in [0..25]]; // Vincenzo Librandi, Aug 09 2013

Discussion

Thu Sep 08

08:45

OEIS Server: https://oeis.org/edit/global/2944

#21 by Susanna Cuyler at Tue Jan 16 21:12:28 EST 2018

STATUS

proposed

approved

#20 by Jon E. Schoenfield at Tue Jan 16 17:38:07 EST 2018

STATUS

editing

proposed

#19 by Jon E. Schoenfield at Tue Jan 16 17:38:02 EST 2018

NAME

a(n) = 2*5^n - 3^n.

COMMENTS

Row sums of the triangle of 2^n terms shown in A178590 appears to = A081625. [From _- _Gary W. Adamson_, May 29 2010]

Binomial transform of A006516: (1, 6, 28, 120, 496, ...). [_- _Gary W. Adamson_, May 31 2010]

FORMULA

a(n) = 8*a(n-1) - 15*a(n-2), a(0)=1, a(1)=7.

E.g.f. 2*exp(5*x) - exp(3*x).

a(n) = Sum_{k, =0<=k<=..n} A125185(n,k)*3^k. - Philippe Deléham, Feb 26 2012

STATUS

approved

editing

#18 by Charles R Greathouse IV at Sat Jun 13 00:51:00 EDT 2015

LINKS

<a href="/index/Rec#order_02">Index to sequences with entries for linear recurrences with constant coefficients</a>, signature (8,-15).

Discussion

Sat Jun 13

00:51

OEIS Server: https://oeis.org/edit/global/2439

#17 by R. J. Mathar at Wed Oct 15 13:59:55 EDT 2014

STATUS

editing

approved

#16 by R. J. Mathar at Wed Oct 15 13:59:44 EDT 2014

LINKS

<a href="/index/Rec#order_02">Index to sequences with linear recurrences with constant coefficients</a>, signature (8,-15).

CROSSREFS

Cf. A178590, A006516. [Gary W. Adamson, May 31 2010]

Cf. A178590, A006516.

STATUS

approved

editing

#15 by Harvey P. Dale at Mon Oct 14 12:06:49 EDT 2013

STATUS

editing

approved

#14 by Harvey P. Dale at Mon Oct 14 12:06:43 EDT 2013

MATHEMATICA

LinearRecurrence[{8, -15}, {1, 7}, 30] (* Harvey P. Dale, Oct 14 2013 *)

STATUS

approved

editing

#13 by Bruno Berselli at Sat Aug 10 05:38:42 EDT 2013

STATUS

editing

approved