The On-Line Encyclopedia of Integer Sequences (OEIS)

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A089918

(n+1)*a(n) equals the (n+1)-th term of the n-th binomial transform of this sequence.
(history; published version)

#3 by Russ Cox at Fri Mar 30 18:36:39 EDT 2012

AUTHOR

_Paul D. Hanna (pauldhanna(AT)juno.com), _, Nov 14 2003

Discussion

Fri Mar 30

18:36

OEIS Server: https://oeis.org/edit/global/213

#2 by N. J. A. Sloane at Sat Nov 10 03:00:00 EST 2007

KEYWORD

nonn,new

nonn

AUTHOR

Paul D . Hanna (pauldhanna(AT)juno.com), Nov 14 2003

#1 by N. J. A. Sloane at Thu Feb 19 03:00:00 EST 2004

NAME

(n+1)*a(n) equals the (n+1)-th term of the n-th binomial transform of this sequence.

DATA

1, 1, 4, 30, 344, 5470, 113892, 2988426, 96098256, 3706301286, 168494060060, 8900937960706, 539861090952504, 37212541117261614, 2889625585310057076, 250853703625289217690, 24183224498531542003616

OFFSET

0,3

EXAMPLE

Note the diagonal {(n+1)*a(n)} in array of iterated binomial transforms of this sequence:

[1, 1, 4, 30, 344, 5470, 113892, 2988426,..]

[1,_2, 7, 46, 493, 7536, 152539, 3913722,..]

[1, 3,_12, 74, 728, 10542, 206188, 5158778,..]

[1, 4, 19,_120, 1109, 15058, 282039, 6851820,..]

[1, 5, 28, 190,_1720, 22014, 391732, 9185754,..]

[1, 6, 39, 290, 2669,_32820, 553867, 12457646,..]

[1, 7, 52, 426, 4088, 49486,_797244, 17128362,..]

[1, 8, 67, 604, 6133, 74742, 1164823,_23907408,..]

KEYWORD

nonn

AUTHOR

Paul D Hanna (pauldhanna(AT)juno.com), Nov 14 2003

STATUS

approved