The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A190865 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
Showing entries 1-10 | older changes

A190865

E.g.f. exp(x+x^3/6).
(history; published version)

#45 by Alois P. Heinz at Fri Jun 04 15:57:52 EDT 2021

STATUS

proposed

approved

#44 by Peter Luschny at Fri Jun 04 15:15:49 EDT 2021

STATUS

editing

proposed

#43 by Peter Luschny at Fri Jun 04 15:05:20 EDT 2021

FORMULA

a(n) = hypergeom([-n/3, (1 - n)/3, (2 - n)/3], [], -9/2). - Peter Luschny, Jun 04 2021

STATUS

approved

editing

#42 by Alois P. Heinz at Wed Jul 27 11:37:11 EDT 2016

STATUS

editing

approved

#41 by Alois P. Heinz at Wed Jul 27 10:28:28 EDT 2016

CROSSREFS

Column k=3 of A275422.

STATUS

approved

editing

#40 by Alois P. Heinz at Wed Jul 27 09:06:26 EDT 2016

STATUS

editing

approved

#39 by Alois P. Heinz at Wed Jul 27 09:05:54 EDT 2016

LINKS

Alois P. Heinz, <a href="/A190865/b190865.txt">Table of n, a(n) for n = 0..666</a>

MAPLE

a:= proc(n) option remember; `if`(n=0, 1, add(

`if`(j>n, 0, a(n-j)*binomial(n-1, j-1)), j=[1, 3]))

end:

seq(a(n), n=0..30); # Alois P. Heinz, Jul 27 2016

#38 by Alois P. Heinz at Wed Jul 27 08:35:40 EDT 2016

DATA

1, 1, 1, 2, 5, 11, 31, 106, 337, 1205, 5021, 20186, 86461, 417847, 1992355, 9860306, 53734241, 292816841, 1633818457, 9855157330, 59926837141, 370352343971, 2439935383271, 16283034762842, 109982177787505, 783404343570301, 5668314772422901, 41412522553362026

STATUS

approved

editing

#37 by Alois P. Heinz at Tue Jul 26 08:11:19 EDT 2016

CROSSREFS

Cf. A001470, A000085.

KEYWORD

nonn,changed

nonn

STATUS

proposed

approved

#36 by Anton Zakharov at Tue Jul 26 01:24:14 EDT 2016

STATUS

editing

proposed

Discussion

Tue Jul 26

01:31

Michel Marcus: Yes please add something/anything. You can see other users pages at https://oeis.org/wiki/Special:ListUsers

08:11

Alois P. Heinz: Yes, it would be nice to have some some short bio or contact information. Thanks.