The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation. Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A114844 Sum of first n digits of pi to digit-wise power of first n digits of e. 1
 9, 10, 14, 15, 40, 43046761, 43046763, 44726379, 44726404, 44732965, 44733590, 44766358, 432186847, 432186848, 432193409, 432193652, 432193656, 432193683, 432226451, 432226515, 432273171, 432273172, 432273208, 432338744, 432340931 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS This demonstrates the noncommutativity of the binary transformation of integer sequences, "sum of digit-wise exponentiation of decimal expansions of real constants," by comparison with A114605 "sum of first n digits of e to digit-wise power of first n digits of pi." Assuming equidistribution of the digits of e and pi, there should be an infinite number of k such that a(k) = A114605(k). The first primes in this sequence are a(13) = 432186847, a(19) = 432226451. The 331st digit of pi and the 331st digit of e are both 0, so to generate any additional terms of the sequence beyond 330 terms one would have to define 0^0 to be either 0 or 1. - Harvey P. Dale, Aug 05 2014 LINKS Harvey P. Dale, Table of n, a(n) for n = 1..300 Eric Weisstein's World of Mathematics, Pi Digits. Eric Weisstein's World of Mathematics, e. FORMULA a(n) = SUM[i = 1 to n] A000796(i)^A001113(i). EXAMPLE Since pi = 3.1415926535897932384626433832795028841971693993751058209749445923078164062... and e = 2.71828182845904523536028747135266249775724709369995957496696762772407663... we have: a(1) = 9 = 3^2. a(2) = 10 = 3^2 + 1^7. a(3) = 14 = 3^2 + 1^7 + 4^1. a(4) = 15 = 3^2 + 1^7 + 4^1 + 1^8. a(5) = 40 = 3^2 + 1^7 + 4^1 + 1^8 + 5^2. a(6) = 43046761 = 3^2 + 1^7 + 4^1 + 1^8 + 5^2 + 9^8. MATHEMATICA With[{nn=30}, Accumulate[RealDigits[Pi, 10, nn][]^RealDigits[E, 10, nn] []]] (* Harvey P. Dale, Aug 05 2014 *) CROSSREFS Cf. A000796, A001113, A039661, A059850, A114605. Sequence in context: A088710 A020199 A227943 * A194593 A005381 A175090 Adjacent sequences:  A114841 A114842 A114843 * A114845 A114846 A114847 KEYWORD base,easy,nonn AUTHOR Jonathan Vos Post, Feb 19 2006 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified September 28 21:45 EDT 2020. Contains 337414 sequences. (Running on oeis4.)