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A097207
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Triangle read by rows: T(n,k) = binomial(n,k) + 2*binomial(n,k-1).
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2
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1, 1, 3, 1, 4, 5, 1, 5, 9, 7, 1, 6, 14, 16, 9, 1, 7, 20, 30, 25, 11, 1, 8, 27, 50, 55, 36, 13, 1, 9, 35, 77, 105, 91, 49, 15, 1, 10, 44, 112, 182, 196, 140, 64, 17, 1, 11, 54, 156, 294, 378, 336, 204, 81, 19, 1, 12, 65, 210, 450, 672, 714, 540, 285, 100, 21, 1, 13, 77, 275, 660
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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LINKS
| H. W. Gould, Power sum identities for arbitrary symmetric arrays, SIAM J. Appl. Math., 17 (1969), 307-316.
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EXAMPLE
| Triangle begins:
1
1 3
1 4 5
1 5 9 7
1 6 14 16 9
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MATHEMATICA
| T[n_, k_] := Binomial[n, k] + 2Binomial[n, k - 1]; Flatten[ Table[ T[n, k], {n, 0, 10}, {k, 0, n}]] (from Robert G. Wilson v Sep 21 2004)
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CROSSREFS
| Cf. A029637, A110813 (row-reversed).
Sequence in context: A200027 A016473 A029637 * A118469 A198553 A069203
Adjacent sequences: A097204 A097205 A097206 * A097208 A097209 A097210
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KEYWORD
| nonn,tabl,easy
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), Sep 21 2004
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EXTENSIONS
| More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Sep 21 2004
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