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Search: id:A132735
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| 1, 1, 1, 1, 3, 1, 1, 4, 4, 1, 1, 5, 7, 5, 1, 1, 6, 11, 11, 6, 1, 1, 7, 16, 21, 16, 7, 1, 1, 8, 22, 36, 36, 22, 8, 1, 1, 9, 29, 57, 71, 57, 29, 9, 1, 1, 10, 37, 85, 127, 127, 85, 37, 10, 1, 1, 11, 46, 121, 211, 253, 211, 121, 46, 11, 1, 1, 12, 56, 166, 331, 463, 463, 331, 166, 56, 12, 1
(list; table; graph; listen)
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OFFSET
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0,5
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COMMENT
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Row sums = A132734: (1, 2, 5, 16, 43, 102, 225,...).
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FORMULA
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A007318 + A000012 - A103451 as infinite lower triangular matrices.
T(n,0) = T(n,n) = 1; T(n,k) = C(n,k) + 1 otherwise. [From Franklin T. Adams-Watters (FrankTAW(AT)Netscape.net), Jul 06 2009]
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EXAMPLE
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First few rows of the triangle are;
1;
1, 1;
1, 3, 1;
1, 4, 4, 1;
1, 5, 7, 5, 1;
1, 6, 11, 11, 6, 1;
1, 7, 16, 21, 16, 7, 1;
...
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CROSSREFS
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Cf. A007318, A000012, A103451, A132734.
Sequence in context: A080575 A077228 A049687 this_sequence A028262 A050177 A013580
Adjacent sequences: A132732 A132733 A132734 this_sequence A132736 A132737 A132738
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KEYWORD
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nonn,tabl
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AUTHOR
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Gary W. Adamson (qntmpkt(AT)yahoo.com), Aug 26 2007
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EXTENSIONS
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Corrected and extended by Franklin T. Adams-Watters (FrankTAW(AT)Netscape.net), Jul 06 2009
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