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Search: id:A116414
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| A116414 |
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Riordan array (1/((1-x)(1-3x)),x/((1-x)(1-3x))). |
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+0
3
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| 1, 4, 1, 13, 8, 1, 40, 42, 12, 1, 121, 184, 87, 16, 1, 364, 731, 496, 148, 20, 1, 1093, 2736, 2454, 1040, 225, 24, 1, 3280, 9844, 11064, 6170, 1880, 318, 28, 1, 9841, 34448, 46738, 32624, 13015, 3080, 427, 32, 1, 29524, 118101, 188208, 158724, 79044, 24381, 4704
(list; table; graph; listen)
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OFFSET
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0,2
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COMMENT
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Row sums are A116415. Diagonal sums are A007070. First column is A003462(n+1). Product of A007318 and A116412.
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FORMULA
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Riordan array (1/(1-4x+3x^2),x/(1-4x+3x^2)); Number triangle T(n,k)=sum{j=0..n, C(n-j,k)C(k+j,j)3^j}.
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EXAMPLE
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Triangle begins
1,
4, 1,
13, 8, 1,
40, 42, 12, 1,
121, 184, 87, 16, 1,
364, 731, 496, 148, 20, 1
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CROSSREFS
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Sequence in context: A002564 A019428 A055252 this_sequence A144698 A115154 A051928
Adjacent sequences: A116411 A116412 A116413 this_sequence A116415 A116416 A116417
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KEYWORD
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easy,nonn,tabl
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AUTHOR
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Paul Barry (pbarry(AT)wit.ie), Feb 13 2006
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