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A147716 Triangle of coefficients in expansion of (14+x)^n. 1
1, 14, 1, 196, 28, 1, 2744, 588, 42, 1, 38416, 10976, 1176, 56, 1, 537824, 192080, 27440, 1960, 70, 1, 7529536, 3226944, 576240, 54880, 2940, 84, 1, 105413504, 52706752, 11294304, 1344560, 96040, 4116, 98, 1, 1455789056, 843308032 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Triangle T(n,k), read by rows, given by [14, 0, 0, 0, 0, 0, 0, ...] DELTA [1, 0, 0, 0, 0, 0, 0, ...] where DELTA is the operator defined in A084938 .

LINKS

Table of n, a(n) for n=0..37.

FORMULA

T(n,k)=Binomial(n,k)*14^(n-k).

G.f.: -1/(-1+14*x+x*y). - R. J. Mathar, Aug 12 2015

EXAMPLE

Triangle begins :

1 ;

14, 1 ;

196, 28, 1 ;

2744, 588, 42, 1 ;

38416, 10976, 1176, 56, 1 ;

537824, 192080, 27440, 1960, 70, 1 ;

CROSSREFS

Cf. A130595, A023531, A007318, A038207, A027465, A038231, A038243, A038255, A027466, A038279, A038291, A038303, A038315, A038327, A133371, A027467

Sequence in context: A097181 A040209 A071713 * A223516 A040192 A040191

Adjacent sequences:  A147713 A147714 A147715 * A147717 A147718 A147719

KEYWORD

easy,nonn,tabl

AUTHOR

Philippe Deléham, Nov 11 2008

STATUS

approved

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Last modified February 19 09:05 EST 2018. Contains 299330 sequences. (Running on oeis4.)