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A054459 A001333(n), n >= 1, convolved with itself. 4
1, 6, 23, 76, 233, 682, 1935, 5368, 14641, 39406, 104935, 276996, 725849, 1890258, 4896415, 12624752, 32419297, 82951766, 211573047, 538086716, 1364974409, 3454480250, 8724052271, 21989264232, 55326056977, 138975010110 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

COMMENTS

a(n) = A054458(n+1,1) (second column of convolution triangle).

REFERENCES

R. P. Grimaldi, Ternary strings ..., Congressus Numerantium, 205 (2011), 129-149. (The sequence t_n, also the sequence lev_{n-1}.)

FORMULA

a(n)= ((4*n+3)*LP(n)+(2*n+1)*LP(n-1))/4, n >= 1, with LP(n)=A001333(n+1), a(0)=1.

G.f.: ((1+x)/(1-2*x-x^2))^2.

CROSSREFS

Cf. A054458, A001333, A002203.

Sequence in context: A038737 A038797 A136530 * A060188 A058751 A034359

Adjacent sequences:  A054456 A054457 A054458 * A054460 A054461 A054462

KEYWORD

easy,nonn

AUTHOR

Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de), Apr 26 2000

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Last modified February 17 19:13 EST 2012. Contains 206085 sequences.