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Search: id:A152818
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| A152818 |
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Array read by antidiagonals: T(n,k) = (k+1)^n*(n+k)!/n!. |
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13
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| 1, 1, 1, 1, 4, 2, 1, 12, 18, 6, 1, 32, 108, 96, 24, 1, 80, 540, 960, 600, 120, 1, 192, 2430, 7680, 9000, 4320, 720, 1, 448, 10206, 53760, 105000, 90720, 35280, 5040, 1, 1024, 40824, 344064, 1050000, 1451520, 987840, 322560, 40320
(list; table; graph; listen)
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OFFSET
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0,5
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COMMENT
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A009998/A119502 gives triangle of unreduced coefficients of polynomials defined by A152650/A152656. a(n) gives numerators with denominators n! for each row.
Row 0 is A000142. Row 1 is formed from positive members of A001563. Row 2 is A055533. Column 0 is A000012. Column 1 is formed from positive members of A001787. Column 2 is A006043. Column 3 is A006044. [From Omar E. Pol (info(AT)polprimos.com), Jan 06 2009]
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EXAMPLE
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a(8)=18. Then a(6)+a(7)+a(8)+a(9)=A072597(3)=37.
Contribution from Omar E. Pol (info(AT)polprimos.com), Jan 06 2009: (Start)
T(2,3)=960 because (3+1)^2*(2+3)!/2! = 16*120/2 = 960.
Array begins:
1, 1, 2, 6, 24, 120,
1, 4, 18, 96, 600,
1, 12, 108, 960,
1, 32, 540,
1, 80,
1,
(End)
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CROSSREFS
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Cf. A000012, A000142, A001563, A001787, A006043, A006044, A055533. [From Omar E. Pol (info(AT)polprimos.com), Jan 06 2009]
Sequence in context: A021010 A075397 A049429 this_sequence A109244 A143777 A152391
Adjacent sequences: A152815 A152816 A152817 this_sequence A152819 A152820 A152821
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KEYWORD
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nonn,tabl
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AUTHOR
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Paul Curtz (bpcrtz(AT)free.fr), Dec 13 2008
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EXTENSIONS
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Better definition, extended and edited by Omar E. Pol (info(AT)polprimos.com) and N. J. A. Sloane (njas(AT)research.att.com), Jan 05 2009
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