A006693 Modified Engel expansion of 3/7. (Formerly M0960)

2, 4, 5, 7, 8, 10, 25, 53, 62, 134, 574, 2431, 13147, 27167, 229073, 315416, 435474, 771789, 1522716, 3853889, 7878986, 7922488, 8844776, 9182596, 9388467, 14781524, 135097360, 1374449987, 1561240840, 4408239956, 11166053604, 12014224315

Offset

1,1

References

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

Links

Table of n, a(n) for n=1..32.

Jeffrey Shallit, Rational numbers with non-terminating, non-periodic modified Engel-type expansions, Fib. Quart., 31 (1993), 37-40.

Index entries for sequences related to Engel expansions

Formula

a(n) = floor(1/A(n)) where A(1) = 3/7, A(n+1) = (1/a(n) - A(n)) * (a(n) + 1). - Sean A. Irvine, Jun 17 2017

Crossrefs

Sequence in context: A269929 A364238 A085370 * A281641 A158850 A274427

Adjacent sequences: A006690 A006691 A006692 * A006694 A006695 A006696

Keyword

nonn

Author

N. J. A. Sloane

Extensions

More terms from Sean A. Irvine, Jun 17 2017

Status

approved