A081750 - OEIS

A081750

Simple continued fraction of 2*e.

5, 2, 3, 2, 3, 1, 2, 1, 3, 4, 3, 1, 4, 1, 3, 6, 3, 1, 6, 1, 3, 8, 3, 1, 8, 1, 3, 10, 3, 1, 10, 1, 3, 12, 3, 1, 12, 1, 3, 14, 3, 1, 14, 1, 3, 16, 3, 1, 16, 1, 3, 18, 3, 1, 18, 1, 3, 20, 3, 1, 20, 1, 3, 22, 3, 1, 22, 1, 3, 24, 3, 1, 24, 1, 3, 26, 3, 1, 26, 1, 3, 28, 3, 1, 28, 1, 3, 30, 3, 1, 30, 1, 3, 32

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OFFSET

0,1

LINKS

Antti Karttunen, Table of n, a(n) for n = 0..19999

Index entries for linear recurrences with constant coefficients, signature (0,0,1,0,0,1,0,0,-1).

FORMULA

First 6 terms are 5, 2, 3, 2, 3, 1.

For k >= 1, a(6k)=2k; a(6k+1)=1; a(6k+2)=3; a(6k+3)=2k+2; a(6k+4)=3; a(6k+5)=1.

EXAMPLE

2*e = 5 + 1 / (2 + 1 / (3 + 1 / (2 + 1 / (3 + 1 / (1 + ...))))). - Michael Somos, May 07 2012

MATHEMATICA