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A123021
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Bezier transform on A078812: Morgan-Voyce polynomial triangular array.
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0
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1, 2, -1, 3, -2, 4, -2, -2, 1, 5, 0, -9, 6, -1, 6, 5, -24, 18, -4, 7, 14, -49, 36, -4, -4, 1, 8, 28, -84, 50, 20, -30, 10, -1, 9, 48, -126, 36, 115, -120, 45, -6, 10, 75, -168, -48, 358, -335, 120, -6, -6, 1, 11, 110, -198, -264, 847, -714, 175, 84, -63, 14, -1
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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LINKS
| Eric Weisstein's World of Mathematics, Morgan-Voyce Polynomials
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FORMULA
| T(n,k)=binomial[n + k + 1, n - k] (* Bezier Transform*) t'(n,k)=t(n,k)*p^k*(1 - p)^(n - k)
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MATHEMATICA
| T[n_, k_] := Binomial[n + k + 1, n - k] a = Table[CoefficientList[Sum[T[n, k]*p^k*(1 - p)^(n - k), {k, 0, n}], p], {n, 0, 10}]; Flatten[a]
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CROSSREFS
| Cf. A078812.
Sequence in context: A003602 A181733 A049773 * A028914 A204539 A106466
Adjacent sequences: A123018 A123019 A123020 * A123022 A123023 A123024
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KEYWORD
| sign,uned,tabl
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AUTHOR
| Roger Bagula and Gary Adamson (rlbagulatftn(AT)yahoo.com), Sep 24 2006
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