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Search: id:A134082
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| A134082 |
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Triangle read by rows, (n-1) zeros followed by (2n, 1). |
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+0
9
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| 1, 2, 1, 0, 4, 1, 0, 0, 6, 1, 0, 0, 0, 8, 1, 0, 0, 0, 0, 10, 1, 0, 0, 0, 0, 0, 12, 1, 0, 0, 0, 0, 0, 0, 14, 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 = (1, 3, 5, 7,...). A134082 * [1,2,3,...] = A084849: (1, 4, 11, 22, 37,...). Binomial transform of A134082 = A134083. A112295 replaces subdiagonal with (-1,-3,-5,...)
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FORMULA
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Triangle read by rows, (n-1) zeros followed by (2n, 1). As an infinite lower triangular matrix, (1,1,1,...) in the main diagonal and (2,4,6,8,...) in the subdiagonal.
From formalism in A132382, e.g.f. = I_o[2*(u*x)^(1/2)] (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;
2, 1;
0, 4, 1;
0, 0, 6, 1;
0, 0, 0, 8, 1;
0, 0, 0, 0, 10, 1;
...
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CROSSREFS
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Cf. A112295, A084849, A134083.
Sequence in context: A053117 A121448 A019094 this_sequence A139360 A136329 A122073
Adjacent sequences: A134079 A134080 A134081 this_sequence A134083 A134084 A134085
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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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