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Search: id:A111578
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| A111578 |
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Analogue to Stirling number of the second kind triangle, read by rows. |
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+0
3
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| 1, 1, 1, 1, 6, 1, 1, 31, 15, 1, 1, 156, 166, 28, 1, 1, 781, 1650, 530, 45, 1, 1, 3906, 15631, 8540, 1295, 66, 1, 1, 19531, 144585, 126651, 30555, 2681, 91, 1
(list; table; graph; listen)
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OFFSET
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1,5
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COMMENT
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First few rows of the triangle are 1; 1, 1; 1, 6, 1; 1, 31, 15, 1; 1, 156, 166, 28, 1;...
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FORMULA
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T(n, k) = T(n-1, k-1) + (4k-3)*T(n-1, k); with (4k-3, k>0) = 1, 5, 9, 13...
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EXAMPLE
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a(13) = 166 = T(5,3) = (9)(15) + 31.
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CROSSREFS
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Cf. A111577, A008277, A039755.
Sequence in context: A140945 A141688 A105373 this_sequence A022169 A058875 A015117
Adjacent sequences: A111575 A111576 A111577 this_sequence A111579 A111580 A111581
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KEYWORD
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nonn,tabl,uned
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AUTHOR
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Gary W. Adamson (qntmpkt(AT)yahoo.com), Aug 07 2005
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