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Search: id:A132200
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| A132200 |
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Numbers in (4,4)-Pascal triangle . |
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+0
1
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| 1, 4, 4, 4, 8, 4, 4, 12, 12, 4, 4, 16, 24, 16, 4, 4, 20, 40, 40, 20, 4, 4, 24, 60, 80, 60, 24, 4, 4, 28, 84, 140, 140, 84, 28, 4, 4, 32, 112, 224, 280, 224, 112, 32, 4, 4, 36, 144, 336, 504, 504, 336, 144, 36, 4, 4, 40, 180, 480, 840, 1008, 840, 480, 180, 40, 4
(list; table; graph; listen)
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OFFSET
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0,2
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COMMENT
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This triangle belongs to the family of (x,y)-Pascal triangles ; other triangles arise by choosing different values for (x,y): (1,1) -> A007318 ; (1,0) -> A071919 ; (3,2) -> A029618 ; (2,2) -> A134058 ; (-1,1) -> A112467 ; (0,1) -> A097805 ; (5,5) -> A135089 ; etc..
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FORMULA
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T(n,k)=4*binomial(n,k), n>0 ; T(0,0)=1 .
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EXAMPLE
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Triangle begins:
1;
4, 4;
4, 8, 4;
4, 12, 12, 4;
4, 16, 24, 16, 4;
4, 20, 40, 40, 20, 4 ;...
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CROSSREFS
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Sequence in context: A010658 A128939 A105352 this_sequence A110757 A085071 A011412
Adjacent sequences: A132197 A132198 A132199 this_sequence A132201 A132202 A132203
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KEYWORD
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nonn,tabl
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AUTHOR
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Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Nov 19 2007
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