A114605 Sum of first n digits of e to digit-wise power of first n digits of Pi.

8, 15, 16, 24, 56, 134217784, 134217785, 134479929, 134479961, 134480473, 134481497, 134872122, 522292611, 522292611, 522554755, 522554880, 522554884, 522554911, 522945536, 522945617

Offset

1,1

Links

Table of n, a(n) for n=1..20.

Eric Weisstein's World of Mathematics, Pi Digits.

Eric Weisstein's World of Mathematics, e.

Formula

a(n) = Sum_{i=1..n} A001113(i)^A000796(i).

Example

Since e = 2.71828182845904523536028747135266249775724709369995957496696762772407663...
and Pi =
3.1415926535897932384626433832795028841971693993751058209749445923078164062...
a(1) = 8 = 2^3.
a(2) = 15 = 2^3 + 7^1.
a(3) = 16 = 2^3 + 7^1 + 1^4.
a(4) = 24 = 2^3 + 7^1 + 1^4 + 8^1.
a(5) = 56 = 2^3 + 7^1 + 1^4 + 8^1 + 2^5.
a(6) = 134217784 = 2^3 + 7^1 + 1^4 + 8^1 + 2^5 + 8^9.

Mathematica

Module[{nn=20, pi, ee}, pi=RealDigits[Pi, 10, nn][[1]]; ee=RealDigits[E, 10, nn] [[1]]; Table[Total[Take[ee, n]^Take[pi, n]], {n, nn}]] (* Harvey P. Dale, Jan 13 2017 *)

Crossrefs

Cf. A000796, A001113, A039661.

Sequence in context: A301618 A192915 A229839 * A300860 A352989 A367335

Adjacent sequences: A114602 A114603 A114604 * A114606 A114607 A114608

Keyword

base,easy,nonn

Author

Jonathan Vos Post, Feb 17 2006

Status

approved