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A116407
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Triangle whose k-th column has e.g.f. exp(x)*sum{j=0..k, (-1)^j*Bessel_I(k+j,2x)}.
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3
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1, 1, 1, 3, 1, 1, 7, 3, 2, 1, 19, 6, 7, 3, 1, 51, 15, 20, 11, 4, 1, 141, 36, 61, 34, 16, 5, 1, 393, 91, 182, 105, 55, 22, 6, 1, 1107, 232, 546, 314, 183, 83, 29, 7, 1, 3139, 603, 1632, 930, 588, 295, 119, 37, 8, 1, 8953, 1585, 4875, 2727, 1858, 1001, 451, 164, 46, 9, 1
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 0,4
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COMMENTS
| First column is A002426. Second column is A005043(n+1). Third column is A116408. Row sums are A116409. Product of A007318 and A116405.
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FORMULA
| Triangle begins 1, 1, 1, 3, 1, 1, 7, 3, 2, 1, 19, 6, 7, 3, 1, 51, 15, 20, 11, 4, 1
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CROSSREFS
| Sequence in context: A010273 A046143 A071812 * A135288 A078026 A126713
Adjacent sequences: A116404 A116405 A116406 * A116408 A116409 A116410
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KEYWORD
| easy,nonn,tabl
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AUTHOR
| Paul Barry (pbarry(AT)wit.ie), Feb 13 2006
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