A218311 Product of the nonzero digits (in base 10) of n^5.

1, 36, 576, 64, 900, 4235364, 112896, 4064256, 2624400, 1, 900, 9437184, 1285956, 45158400, 1093955625, 45158400, 101606400, 19110297600, 740710656, 36, 16384, 7290000, 241864704, 1316818944, 12859560000, 65028096, 585252864, 4064256, 129600, 576, 74649600

Offset

1,2

Comments

This is to 5 as A218145, product of the nonzero digits (in base 10) of

n^3, is to 3. Similar to A053668, which does not exclude zero digits

from the product. This is to the 5th powers A000584 as cubes A000578

are to A218145, and as A218072 is to the squares A000290.

Links

Table of n, a(n) for n=1..31.

Example

a(3) = 36 because 3^5 = 243, and 2*4*3 = 36.

Mathematica

Table[Times @@ Select[IntegerDigits[n^5], # > 0 &], {n, 60}]

Crossrefs

Cf. A000584, A007954, A053668, A218072, A218145.

Sequence in context: A374499 A159656 A081447 * A183356 A099764 A003841

Adjacent sequences: A218308 A218309 A218310 * A218312 A218313 A218314

Keyword

nonn,base,easy

Author

Jonathan Vos Post, Oct 25 2012

Status

approved