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A135597
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Square array read by antidiagonals: row m (m >= 1) satisfies b(0) = b(1) = 1; b(n) = m*b(n-1) + b(n-2):
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3
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1, 1, 1, 1, 1, 2, 1, 1, 3, 3, 1, 1, 4, 7, 5, 1, 1, 5, 13, 17, 8, 1, 1, 6, 21, 43, 41, 13, 1, 1, 7, 31, 89, 142, 99, 21, 1, 1, 8, 43, 161, 377, 469, 239, 34, 1, 1, 9, 57, 265, 836, 1597, 1549, 577, 55, 1, 1, 10, 73, 407, 1633, 4341, 6765, 5116, 1393, 89, 1, 1, 11, 91, 593, 2906
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 1,6
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FORMULA
| O.g.f. row m: (mx-x-1)/(x^2+mx-1). - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Apr 21 2008
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EXAMPLE
| Array begins:
1 1 2 3 5 8 13 21 34 55 ...
1 1 3 7 17 41 99 239 577 1393 ...
1 1 4 13 43 142 469 1549 5116 16897 ...
1 1 5 21 89 377 1597 6765 28657 121393 ...
1 1 6 31 161 836 4341 22541 117046 607771 ...
1 1 7 43 265 1633 10063 62011 382129 2354785 ...
1 1 8 57 407 2906 20749 148149 1057792 7552693 ...
1 1 9 73 593 4817 39129 317849 2581921 20973217 ...
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MAPLE
| A135597 := proc(m, c) coeftayl( (m*x-x-1)/(x^2+m*x-1), x=0, c) ; end: for d from 1 to 15 do for c from 0 to d-1 do printf("%d, ", A135597(d-c, c)) ; od: od: - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Apr 21 2008
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CROSSREFS
| Cf. A121875, A000045, A001333, etc.
Rows are A001333, A015448, A015449, A015451, A015453, A015454 etc.
Sequence in context: A104878 A196863 A196922 * A169945 A073134 A026692
Adjacent sequences: A135594 A135595 A135596 * A135598 A135599 A135600
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KEYWORD
| nonn,tabl,easy
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), Mar 02 2008
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EXTENSIONS
| More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Apr 21 2008
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