A114605 - OEIS

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

(list; graph; refs; listen; history; text; internal format)

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