The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A070967

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A070967

a(n) = Sum_{k=0..n} binomial(6*n,6*k).
(history; published version)

#19 by Harvey P. Dale at Sat Jun 19 17:53:30 EDT 2021

STATUS

editing

approved

#18 by Harvey P. Dale at Sat Jun 19 17:53:27 EDT 2021

LINKS

<a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (38,1691,-1728).

MATHEMATICA

Table[Sum[Binomial[6n, 6k], {k, 0, n}], {n, 0, 20}] (* or *) LinearRecurrence[ {38, 1691, -1728}, {1, 2, 926, 37130}, 30] (* Harvey P. Dale, Jun 19 2021 *)

STATUS

approved

editing

#17 by Bruno Berselli at Fri Mar 15 07:20:23 EDT 2019

STATUS

reviewed

approved

#16 by Joerg Arndt at Fri Mar 15 06:23:57 EDT 2019

STATUS

proposed

reviewed

#15 by Seiichi Manyama at Fri Mar 15 05:24:59 EDT 2019

STATUS

editing

proposed

#14 by Seiichi Manyama at Fri Mar 15 05:20:52 EDT 2019

CROSSREFS

Sum_{k=0..n} binomial(b*n,b*k): A000079 (b=1), A081294 (b=2), A007613 (b=3), A070775 (b=4), A070782 (b=5), this sequence (b=6), A094211 (b=7), A070832 (b=8), A094213 (b=9), A070833 (b=10).

#13 by Seiichi Manyama at Fri Mar 15 05:14:37 EDT 2019

CROSSREFS

Sum_{k=0..n} binomial(b*n,b*k): A081294 (b=2), A007613 (b=3), A070775 (b=4), A070782 (b=5), this sequence (b=6), A094211 (b=7), A070832 (b=8), A094213 (b=9), A070833 (b=10).

STATUS

proposed

editing

#12 by Seiichi Manyama at Fri Mar 15 04:46:40 EDT 2019

STATUS

editing

proposed

#11 by Seiichi Manyama at Fri Mar 15 04:42:11 EDT 2019

LINKS

Seiichi Manyama, <a href="/A070967/b070967.txt">Table of n, a(n) for n = 0..554</a>

#10 by Seiichi Manyama at Fri Mar 15 04:35:06 EDT 2019

CROSSREFS

Sum_{k=0..n} binomial(b*n,b*k): A007613 (b=3), A070775 (b=4), A070782 (b=5), this sequence (b=6), A094211 (b=7), A070832 (b=8), A094213 (b=9), A070833 (b=10).