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Search: id:A139377
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| A139377 |
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A Jacobsthal-Catalan triangle. |
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+0
3
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| 1, 1, 1, 3, 2, 1, 5, 6, 3, 1, 11, 15, 10, 4, 1, 21, 41, 30, 15, 5, 1, 43, 113, 92, 51, 21, 6, 1, 85, 327, 284, 171, 79, 28, 7, 1, 171, 982, 897, 570, 286, 115, 36, 8, 1, 341, 3066, 2895, 1913, 1016, 446, 160, 45, 9, 1
(list; table; graph; listen)
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OFFSET
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0,4
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COMMENT
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First column is A001045(n+1). Second column is A139378. Row sums are A139378(n+1).
Diagonal sums are A139379. Inverse of the Riordan array (1-x-x^2+4x^3-2x^4,x(1-x)).
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FORMULA
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Riordan array (1/(1-x-2x^2), xc(x)) where c(x) is the g.f. of A000108
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EXAMPLE
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Triangle begins
1,
1, 1,
3, 2, 1,
5, 6, 3, 1,
11, 15, 10, 4, 1,
21, 41, 30, 15, 5, 1,
43, 113, 92, 51, 21, 6, 1,
85, 327, 284, 171, 79, 28, 7, 1,
171, 982, 897, 570, 286, 115, 36, 8, 1
The production matrix for this array is
1, 1,
2, 1, 1,
-2, 1, 1, 1,
0, 1, 1, 1, 1,
0, 1, 1, 1, 1, 1,
0, 1, 1, 1, 1, 1, 1,
0, 1, 1, 1, 1, 1, 1
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CROSSREFS
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Sequence in context: A091595 A132969 A132970 this_sequence A110712 A138483 A065366
Adjacent sequences: A139374 A139375 A139376 this_sequence A139378 A139379 A139380
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KEYWORD
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easy,nonn,tabl
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AUTHOR
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Paul Barry (pbarry(AT)wit.ie), Apr 15 2008
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