The On-Line Encyclopedia of Integer Sequences (OEIS)

A142967 revision #11

A142967

Row sums of triangle A142963.

1, 3, 15, 111, 1071, 12663, 177255, 2866671, 52587711, 1078805223, 24470577495, 608113846431, 16429992037551, 479502707791383, 15032820820737735, 503852219871917391, 17978716725920562591, 680458944566818819143, 27227452811905815729975, 1148414905826479180087551

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OFFSET

1,2

LINKS

Table of n, a(n) for n=1..20.

FORMULA

a(n) = Sum_{m=0..n-1} A142963(n,m).

a(n) = Sum_{1<=k<=n} A211399(n,k)*2^(k-1)._ Philippe Deléham_, Feb 12 2013

G.f.: 1 + 2*Sum_{n = 1..inf} a(n)*x^n = 1/(1-2*x/(1-x/(1-2*3*x/(1-2*x/(1-2*5*x/(1-3*x/(1-2*7*x/(1-4*x/(1-...))))))))) (continued fraction). Philippe Deléham, Feb 12 2013

CROSSREFS

Cf. A142963, A211399.

Sequence in context: A083483 A089468 A109498 * A360864 A201339 A370877

Adjacent sequences: A142964 A142965 A142966 * A142968 A142969 A142970

KEYWORD

nonn,easy

AUTHOR

Wolfdieter Lang Sep 15 2008

STATUS

approved