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Search: id:A048505
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| A048505 |
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Array T read by diagonals, n-th difference of (T(k,n),T(k,n-1),...,T(k,0)) is (k+n)^2, for n=1,2,3,...; k=0,1,2,... |
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11
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| 1, 2, 1, 7, 5, 1, 25, 18, 10, 1, 81, 56, 35, 17, 1, 241, 160, 101, 58, 26, 1, 673, 432, 269, 160, 87, 37, 1, 1793, 1120, 685, 408, 233, 122, 50, 1, 4609, 2816, 1693, 1000, 577, 320, 163, 65, 1, 11521, 6912, 4093, 2392, 1377, 776, 421
(list; table; graph; listen)
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OFFSET
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0,2
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FORMULA
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T(k, n) = (n^2 + (4k+1)n + (2k)^2) * 2^(n-2) - k^2 + 1. - Ralf Stephan (ralf(AT)ark.in-berlin.de), Feb 05 2004
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EXAMPLE
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Diagonals: {1}; {2,1}; {7,5,1}; ...
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CROSSREFS
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Row 2 = (1, 5, 18, 56, 160, ...) = A001793.
Sequence in context: A087059 A120872 A019642 this_sequence A124821 A104030 A082791
Adjacent sequences: A048502 A048503 A048504 this_sequence A048506 A048507 A048508
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KEYWORD
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nonn,tabl
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AUTHOR
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Clark Kimberling (ck6(AT)evansville.edu)
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