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A078737 Denominators of convergents to sqrt(e). 1
1, 1, 2, 3, 17, 20, 37, 353, 390, 743, 10049, 10792, 20841, 365089, 385930, 751019, 16157329, 16908348, 33065677, 843550273, 876615950, 1720166223, 50761436417, 52481602640, 103243039057, 3459501891521, 3562744930578, 7022246822099 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

LINKS

Table of n, a(n) for n=1..28.

FORMULA

Let y(n, x)=sum(k=0, n, (n+k)!*(x/2)^k/((n-k)!*k!)) then : a(3*n-1)=(1/2)*(|y(n, -4)|- |y(n-1, -4)|); a(3*n)=(1/2)*(|y(n, -4)|+ |y(n-1, -4)|); a(3*n+1)=|y(n, -4)|

PROG

(PARI) a(n)=component(component(contfracpnqn(contfrac(exp(1/2), n)), 1), 2)

CROSSREFS

Cf. A058281, A078736, A065919.

Sequence in context: A041295 A128845 A128851 * A041981 A197223 A045342

Adjacent sequences:  A078734 A078735 A078736 * A078738 A078739 A078740

KEYWORD

frac,nonn

AUTHOR

Benoit Cloitre, Dec 20 2002

STATUS

approved

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Last modified December 12 12:50 EST 2019. Contains 329958 sequences. (Running on oeis4.)