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Revision History for A096046 (Bold, blue-underlined text is an addition; faded, red-underlined text is a deletion.)

Showing entries 1-10 | older changes
a(n) = B(2n,3)/B(2n) (see comment).
(history; published version)
#18 by Charles R Greathouse IV at Thu Sep 08 08:45:14 EDT 2022
PROG

(MAGMAMagma) [(1/4)*(7*9^n-3): n in [0..30]]; // Vincenzo Librandi, Aug 13 2011

Discussion
Thu Sep 08
08:45
OEIS Server: https://oeis.org/edit/global/2944
#17 by Alois P. Heinz at Sat Nov 03 22:46:58 EDT 2018
STATUS

proposed

approved

#16 by Jon E. Schoenfield at Sat Nov 03 21:19:07 EDT 2018
STATUS

editing

proposed

#15 by Jon E. Schoenfield at Sat Nov 03 21:19:02 EDT 2018
NAME

a(n) = B(2n,3)/B(2n) (see comment).

COMMENTS

B(n,p) =sum( Sum_{i=0,..n,} p^i*sum(Sum_{j=0,..i,} binomial(n,j)*B(j))) where B(k) = k-th Bernoulli number.

FORMULA

a(n) = (1/4)*(7*9^n - 3).

a(n) = 10*a(n-1/4)*(7* - 9^*a(n-32); a(0)=1 , a(1)=15 and a(n)=10*a(n-1)-9*a(n-2).

a(n) =9a 9*a(n-1) + 6. First differences = 14*A001019(n). - Paul Curtz, Jul 07 2008

PROG

(MAGMA) [(1/4)*(7*9^n-3): n in [0..30]]; // _Vincenzo Librandi, _, Aug 13 2011

STATUS

approved

editing

#14 by T. D. Noe at Tue Nov 13 11:20:19 EST 2012
STATUS

proposed

approved

#13 by Martin Ettl at Tue Nov 13 10:33:50 EST 2012
STATUS

editing

proposed

#12 by Martin Ettl at Tue Nov 13 10:33:47 EST 2012
PROG

(Maxima) A096046(n):=(1/4)*(7*9^n-3)$ makelist(A096046(n), n, 0, 30); /* Martin Ettl, Nov 13 2012 */

STATUS

approved

editing

#11 by Russ Cox at Fri Mar 30 18:51:51 EDT 2012
FORMULA

a(n)=9a(n-1)+6. First differences = 14*A001019(n). - _Paul Curtz (bpcrtz(AT)free.fr), _, Jul 07 2008

Discussion
Fri Mar 30
18:51
OEIS Server: https://oeis.org/edit/global/249
#10 by Russ Cox at Fri Mar 30 18:39:23 EDT 2012
AUTHOR

_Benoit Cloitre (benoit7848c(AT)orange.fr), _, Jun 17 2004

Discussion
Fri Mar 30
18:39
OEIS Server: https://oeis.org/edit/global/216
#9 by T. D. Noe at Sat Aug 13 23:16:28 EDT 2011
STATUS

proposed

approved