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A110665
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Sequence is {a(0,n)}, where a(m,0)=0, a(m,n) = a(m-1,n)+a(m,n-1) and a(0,n) is such that a(n,n) = n for all n.
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7
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0, 1, 0, -3, -4, 0, 6, 7, 0, -9, -10, 0, 12, 13, 0, -15, -16, 0, 18, 19, 0, -21, -22, 0, 24, 25, 0, -27, -28, 0, 30, 31, 0, -33, -34, 0, 36, 37, 0, -39, -40, 0, 42, 43, 0, -45, -46, 0, 48, 49, 0, -51, -52, 0, 54, 55, 0, -57, -58, 0, 60, 61, 0, -63, -64, 0, 66, 67, 0, -69, -70, 0, 72, 73, 0, -75, -76, 0, 78, 79
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,4
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FORMULA
| a(0, n) = n - sum{k=0 to n-1) binomial(2n-k-1, n-1) a(0, k)
a(n) = n * A010892(n), where A010892 is periodic sequence [1,1,0,-1,-1,0]. G.f. (x-2x^2)/(1-x+x^2)^2. - Frank Adams-Watters (FrankTAW(AT)Netscape.net), May 12 2006
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EXAMPLE
| a(0,n): 0, 1, 0, -3, -4,...
a(1,n): 0, 1, 1, -2, -6,...
a(2,n): 0, 1, 2, 0, -6,...
a(3,n): 0, 1, 3, 3, -3,...
a(4,n): 0, 1, 4, 7, 4,...
Main diagonal of array is 0, 1, 2, 3, 4,...
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CROSSREFS
| Cf. A110666, A110667, A110668, A110669, A110670, A110671, A110672.
Sequence in context: A158677 A105576 A105826 * A063441 A092894 A011338
Adjacent sequences: A110662 A110663 A110664 * A110666 A110667 A110668
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KEYWORD
| easy,sign
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AUTHOR
| Leroy Quet Aug 02 2005
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EXTENSIONS
| More terms from Frank Adams-Watters (FrankTAW(AT)Netscape.net), May 12 2006
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