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Search: id:A058942
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| A058942 |
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Triangle of coefficients of Gandhi polynomials. |
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+0
2
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| 1, 1, 1, 2, 4, 2, 8, 22, 20, 6, 56, 184, 224, 120, 24, 608, 2248, 3272, 2352, 840, 120, 9440, 38080, 62768, 54336, 26208, 6720, 720, 198272, 856480, 1550528, 1531344, 896064, 312480, 60480, 5040, 5410688, 24719488, 48207488, 52633344, 35371776
(list; table; graph; listen)
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OFFSET
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1,4
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COMMENT
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(1+x)^2 divides these polynomials for n > 2. - T. D. Noe, Jan 01 2008
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LINKS
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T. D. Noe, Rows n=1..50 of triangle, flattened
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FORMULA
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C_1(x) = 1; C_n(x) = (x+1)*((x+1)*C_n-1(x+1) - x*C_n-1(x)).
Triangle T(n, k), read by rows; given by [1, 1, 4, 4, 9, 9, = 16, 16, 25, ...] DELTA [1, 1, 2, 2, 3, 3, 4, 4, 5, 5, ...] where DELTA = is the operator defined in A084938 . - DELEHAM Philippe (kolotoko(AT)wanadoo.fr), Feb 24 2005
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CROSSREFS
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First column is A005439, as are row sums. See also A036970.
Sequence in context: A051288 A120434 A008303 this_sequence A072866 A061393 A055935
Adjacent sequences: A058939 A058940 A058941 this_sequence A058943 A058944 A058945
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KEYWORD
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nonn,tabl,nice
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AUTHOR
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David W. Wilson (davidwwilson(AT)comcast.net), Jan 12 2001
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