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Search: id:A147716
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| A147716 |
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Triangle of coefficients in expansion of (14+x)^n. |
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+0
2
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| 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; listen)
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OFFSET
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0,2
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COMMENT
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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 .
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FORMULA
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T(n,k)=Binomial(n,k)*14^(n-k).
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EXAMPLE
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Triangle begins : 1 ; 14, 1 ; 196, 28, 1 ; 2744, 588, 42, 1 ; 38416, 10976, 1176, 56, 1 ; 537824, 192080, 27440, 1960, 70, 1 ;...
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CROSSREFS
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Cf. A130595, A023531, A007318, A038207, A027465, A038231, A038243, A038255, A027466, A038279, A038291, A038303, A038315, A038327, A133371, A027467
Adjacent sequences: A147713 A147714 A147715 this_sequence A147717 A147718 A147719
Sequence in context: A097181 A040209 A071713 this_sequence A040192 A040191 A040193
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KEYWORD
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easy,nonn,tabl
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AUTHOR
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Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Nov 11 2008
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