|
| |
|
|
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: A023504 A157905 A027113 * A085143 A026120 A108746
Adjacent sequences: A096467 A096468 A096469 * A096471 A096472 A096473
|
|
|
KEYWORD
|
sign,tabl
|
|
|
AUTHOR
|
Gerald McGarvey, Aug 12 2004
|
|
|
STATUS
|
approved
|
| |
|
|
