A007768 From Engel product expansion of 4/7.

3, 3, 4, 4, 6, 17, 36, 44, 49, 74, 122, 126, 744, 7814, 9238, 9432, 52114, 33241100, 85747623, 353210861, 355051655, 1950030118, 32235431345, 50590143817, 58937626393, 482819610949, 1515905452711, 2679281166868, 25090147463646, 207012319502700

Offset

1,1

Links

Table of n, a(n) for n=1..30.

A. Knopfmacher, Rational numbers with predictable Engel product expansions, in G. E. Bergum et al., eds., Applications of Fibonacci Numbers. Vol. 5, pp. 421-427.

Index entries for sequences related to Engel expansions

Formula

a(n) = 1 + floor(1 / ((1-A(n)) * b(n-1))), A(n) = A(n-1) * b(n-1) / (b(n-1) - 1), b(n) = Product_{k=1..n} a(n), b(0) = 1, A(1) = 4/7. - Sean A. Irvine, Jan 23 2018

Crossrefs

Sequence in context: A292836 A240116 A380118 * A180018 A378765 A011371

Adjacent sequences: A007765 A007766 A007767 * A007769 A007770 A007771

Keyword

nonn

Author

Arnold Knopfmacher

Extensions

More terms from Sean A. Irvine, Jan 23 2018

Status

approved