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Search: id:A134083
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| 1, 3, 1, 5, 6, 1, 7, 15, 9, 1, 9, 28, 30, 12, 1, 11, 45, 70, 50, 15, 1, 13, 66, 135, 140, 75, 18, 1, 15, 91, 231, 315, 245, 105, 21, 1, 17, 120, 364, 616, 630, 392, 140, 24, 1, 19, 153, 540, 1092, 1386, 1134, 588, 180, 27, 1
(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 = A001787: (1, 4, 12, 32, 80, 192,...). A134083 * [1,2,3,...] = A084850: (1, 5, 20, 68, 208, 592,...).
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FORMULA
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Binomial transform of A134082
From formalism in A132382, e.g.f. = I_o[2*(u*x)^(1/2)] exp(x)(1+2x) where I_o is the zeroth modified Bessel function of the first kind, i.e. I_o[2*(u*x)^(1/2)] = sum(j=0,1,...) u^j/j! * x^j/j! . - Tom Copeland (tcjpn(AT)msn.com), Dec 07 2007
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EXAMPLE
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First few rows of the triangle are:
1;
3, 1;
5, 6, 1;
7, 15, 9, 1;
9, 28, 30, 12, 1;
11, 45, 70, 50, 15, 1;
13, 66, 135, 140, 75, 18, 1;
15, 91, 231, 315, 245, 105, 21, 1;
...
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CROSSREFS
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Cf. A134082, A001787, A084850.
Sequence in context: A124741 A049266 A089028 this_sequence A113445 A108283 A016600
Adjacent sequences: A134080 A134081 A134082 this_sequence A134084 A134085 A134086
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KEYWORD
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nonn,tabl
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AUTHOR
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Gary W. Adamson (qntmpkt(AT)yahoo.com), Oct 07 2007
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