A074850 Partial products of successive digits in the decimal expansion of Pi.

3, 3, 12, 12, 60, 540, 1080, 6480, 32400, 97200, 486000, 3888000, 34992000, 244944000, 2204496000, 6613488000, 13226976000, 39680928000, 317447424000, 1269789696000, 7618738176000, 15237476352000, 91424858112000

Offset

1,1

Comments

Because 33rd digit in the decimal expansion of Pi, pi(33) = 0, all a(n>32) = 0.

Partial sums of digits of the decimal expansion of Pi are in A046974.

Links

Table of n, a(n) for n=1..23.

Formula

a(n) = pi(1)*...*pi(n); pi(n)=A000796(n).

a(n) = A073055(n), n>0. - R. J. Mathar, Dec 15 2020

Example

a(3)=12 because pi(1)=3, pi(1)=1, pi(3)=4 and a(3)=3*1*4=12.

Mathematica

ppi={3, 1, 4, 1, 5, 9, 2, 6, 5, 3, 5, 8, 9, 7, 9, 3, 2, 3, 8, 4, 6, 2, 6, 4, 3, 3, 8, 3, 2, 7, 9, 5, 0, 2, 8}; Table[Product[ppi[[i]], {i, n}], {n, 1, 33}]
Rest[FoldList[Times, 1, RealDigits[Pi, 10, 30][[1]]]] (* Harvey P. Dale, Jan 23 2015 *)

Crossrefs

Cf. A000796, A046974, A073055.

Sequence in context: A240801 A032308 A117856 * A073055 A075780 A292515

Adjacent sequences: A074847 A074848 A074849 * A074851 A074852 A074853

Keyword

nonn,base

Author

Zak Seidov, Sep 10 2002

Status

approved