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Search: id:A096470
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| A096470 |
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Triangle (read by rows) formed by setting all entries in the first column and in the main diagonal ((i,i) entries) to 1 and the rest of the entries by the recursion a(n,m) = a(n-1,m) - a(n,m-1). |
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+0
2
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| 1, 1, 1, 1, 0, 1, 1, -1, 2, 1, 1, -2, 4, -3, 1, 1, -3, 7, -10, 11, 1, 1, -4, 11, -21, 32, -31, 1, 1, -5, 16, -37, 69, -100, 101, 1, 1, -6, 22, -59, 128, -228, 329, -328, 1, 1, -7, 29, -88, 216, -444, 773, -1101, 1102, 1, 1, -8, 37, -125, 341, -785, 1558, -2659, 3761, -3760, 1, 1, -9, 46, -171, 512, -1297, 2855, -5514, 9275
(list; table; graph; listen)
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OFFSET
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1,9
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COMMENT
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The 3rd column is A000124 (Hogben's central polygonal numbers.) The "first subdiagonal" ((i+1,i) entries, unsigned) is A032357 (Convolution of Catalan numbers and powers of -1.) The "2nd subdiagonal" ((i+2,i) entries, unsigned) is A033297 (formula is Sum((-1)^i*C(n-1-i),i=0..n-2), where C(n) are the Catalan numbers)
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CROSSREFS
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Cf. A000124, A032357, A033297, A000108.
Sequence in context: A023504 A157905 A027113 this_sequence A085143 A026120 A108746
Adjacent sequences: A096467 A096468 A096469 this_sequence A096471 A096472 A096473
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KEYWORD
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sign,tabl
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AUTHOR
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Gerald McGarvey (Gerald.McGarvey(AT)comcast.net), Aug 12 2004
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