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A055375
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Euler transform of Pascal's triangle A007318.
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0
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1, 1, 1, 2, 3, 2, 3, 7, 7, 3, 5, 14, 21, 14, 5, 7, 26, 48, 48, 26, 7, 11, 45, 103, 131, 103, 45, 11, 15, 75, 198, 312, 312, 198, 75, 15, 22, 120, 366, 674, 830, 674, 366, 120, 22, 30, 187, 637, 1359, 1961, 1961, 1359, 637, 187, 30, 42, 284, 1078, 2584, 4302, 5066
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 0,4
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COMMENTS
| Number of partitions of n objects, k of which are black, into parts each of which is a sequence of objects. E.g. T(3,1) = 7; the partitions are [BWW], [WBW], [WWB], [BW,W], [WB,W], [WW,B] and [B,W,W]. - Franklin T. Adams-Watters (FrankTAW(AT)Netscape.net), Jan 10 2007
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LINKS
| N. J. A. Sloane, Transforms
Index entries for triangles and arrays related to Pascal's triangle
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FORMULA
| G.f. = Product_{i=1}^{infinity} Product_{j=0}^i 1/(1 - x^i y^j)^C(i,j). - Franklin T. Adams-Watters (FrankTAW(AT)Netscape.net), Jan 10 2007
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EXAMPLE
| 1; 1,1; 2,3,2; 3,7,7,3; 5,14,21,14,5; ...
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CROSSREFS
| Row sums give A034899.
Sequence in context: A089135 A038063 A085204 * A091533 A055376 A085215
Adjacent sequences: A055372 A055373 A055374 * A055376 A055377 A055378
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KEYWORD
| nonn,tabl
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AUTHOR
| Christian G. Bower (bowerc(AT)usa.net), May 16 2000
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