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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: A097853 A023504 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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