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A007188 Multiplicative encoding of Pascal triangle: Product p(i+1)^C(n,i).
(Formerly M1722)
15
2, 6, 90, 47250, 66852843750, 2806877704512541816406250, 1216935896582703898519354781702537118597533386230468750 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

REFERENCES

M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards Applied Math. Series 55, 1964 (and various reprintings), p. 828.

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

LINKS

Table of n, a(n) for n=0..6.

M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards, Applied Math. Series 55, Tenth Printing, 1972 [alternative scanned copy].

N. J. A. Sloane, An on-line version of the Encyclopedia of Integer Sequences, Electronic J. Combinatorics, Vol. 1, no. 1, 1994.

Index entries for triangles and arrays related to Pascal's triangle

MATHEMATICA

c[n_] := CoefficientList[(1 + x)^n, x]; f[n_] := Product[Prime[k]^c[n][[k]], {k, 1, Length[c[n]]}]; Table[f[n], {n, 1, 7}] (* Clark Kimberling, Feb 05 2012 *)

CROSSREFS

Leftmost column of square array A066117.

Cf. A007318, A123098, A206295, A206284, A267096.

Sequence in context: A087277 A177861 A218151 * A206156 A229052 A280117

Adjacent sequences:  A007185 A007186 A007187 * A007189 A007190 A007191

KEYWORD

nonn

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified December 3 16:20 EST 2020. Contains 338906 sequences. (Running on oeis4.)