A053190 a(n) is the numerator of the n-th convergent of [L_1, L_2, L_3, ...] where L_i is the period of the continued fraction for sqrt(i).

0, 1, 2, 1, 3, 7, 31, 69, 31, 100, 231, 562, 3041, 12726, 28493, 12726, 41219, 95164, 612203, 1319570, 8529623, 52497308, 218518855, 489535018, 218518855, 708053873, 1634626601, 7246560277, 37867427986, 82981416249, 701718757978

Offset

1,3

Links

Table of n, a(n) for n=1..31.

Example

The numerator of the 7th convergent of [0, 1, 2, 0, 1, 2, 4, 2, 0, 1, 2, 2, 5, 4, 2...] is 31.

Crossrefs

Cf. A053011.

Sequence in context: A259419 A019224 A298096 * A135299 A092081 A203997

Adjacent sequences: A053187 A053188 A053189 * A053191 A053192 A053193

Keyword

frac,nonn

Author

Justin T. Miller (miller(AT)u.arizona.edu), Mar 02 2000

Extensions

More terms from James A. Sellers, Mar 02 2000

Status

approved