

A007188


Multiplicative encoding of Pascal triangle: Product p(i+1)^C(n,i).
(Formerly M1722)


15




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 online 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



