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A096470 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). 1
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; refs; listen; history; text; internal format)
OFFSET

1,9

COMMENTS

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)

LINKS

Table of n, a(n) for n=1..75.

CROSSREFS

Cf. A000124, A032357, A033297, A000108.

Sequence in context: A260931 A293819 A027113 * A085143 A253473 A026120

Adjacent sequences:  A096467 A096468 A096469 * A096471 A096472 A096473

KEYWORD

sign,tabl

AUTHOR

Gerald McGarvey, Aug 12 2004

STATUS

approved

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Last modified October 16 05:44 EDT 2018. Contains 316259 sequences. (Running on oeis4.)