A119604 Merged values of A014217 = {floor(((1+sqrt(5))/2)^n)}, A000149 = {floor(e^n)}, and A001672 = {floor(Pi^n)}, with multiplicity.

1, 1, 1, 1, 2, 2, 3, 4, 6, 7, 9, 11, 17, 20, 29, 31, 46, 54, 76, 97, 122, 148, 199, 306, 321, 403, 521, 842, 961, 1096, 1364, 2206, 2980, 3020, 3571, 5777, 8103, 9349, 9488, 15126, 22026, 24476

Offset

0,5

Links

Table of n, a(n) for n=0..41.

OEIS index entries related to powers of irrational constants.

Example

a(8)=6 because floor(((1+sqrt(5))/2)^4)=6, a(9)=7 because floor(e^2)=7 and a(10)=9 because floor(Pi^2)=9.

Crossrefs

Cf. A001672, A014217, A000149.

Sequence in context: A237976 A035365 A335745 * A036806 A039908 A183954

Adjacent sequences: A119601 A119602 A119603 * A119605 A119606 A119607

Keyword

easy,nonn

Author

Bryan David Levenson, Jun 03 2006

Extensions

Edited by M. F. Hasler, May 29 2018

Status

approved