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A033193 Binomial transform of A033192. 0
1, 2, 6, 19, 62, 207, 704, 2430, 8486, 29903, 106098, 378391, 1354700, 4863834, 17499302, 63055947, 227465414, 821215295, 2966571096, 10721076118, 38757594758, 140143505031, 506827217210, 1833150646599 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Number of (s(0), s(1), ..., s(2n)) such that 0 < s(i) < 10 and |s(i) - s(i-1)| = 1 for i = 1,2,....,2n, s(0) = 3, s(2n) = 3. - Herbert Kociemba, Jun 16 2004

LINKS

Table of n, a(n) for n=0..23.

N. J. A. Sloane, Transforms

FORMULA

G.f.: (x^4-7x^3+11x^2-6x+1)/[(1-3x+x^2)(1-5x+5x^2)].

a(n)=(1/5)*Sum(r, 1, 9, Sin(3*r*Pi/10)^2(2Cos(r*Pi/10))^(2n)), n>=1 - Herbert Kociemba, Jun 16 2004

CROSSREFS

Sequence in context: A094817 A033565 A094831 * A071738 A026012 A191993

Adjacent sequences:  A033190 A033191 A033192 * A033194 A033195 A033196

KEYWORD

nonn

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified November 28 19:05 EST 2021. Contains 349415 sequences. (Running on oeis4.)