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A036219 Expansion of 1/(1-3*x)^6; 6-fold convolution of A000244 (powers of 3). 5
1, 18, 189, 1512, 10206, 61236, 336798, 1732104, 8444007, 39405366, 177324147, 773778096, 3288556908, 13660159464, 55616363532, 222465454128, 875957725629, 3400777052442, 13036312034361, 49400761393368 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

a(n) = A027465(n+6,6) (O. Gerard's triangle).

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..400

FORMULA

a(n) = 3^n*binomial(n+5, 5);

g.f. 1/(1-3*x)^6.

MAPLE

seq(binomial(n+5, 5)*3^n, n=0..19); # Zerinvary Lajos, Jun 13 2008

PROG

(Sage) [lucas_number2(n, 3, 0)*binomial(n, 5)/243 for n in range(5, 25)] # Zerinvary Lajos, Mar 10 2009

(MAGMA) [3^n*Binomial(n+5, 5): n in [0..30]]; // Vincenzo Librandi, Oct 15 2011

CROSSREFS

Cf. A000244, A027465.

Sequence in context: A288836 A023016 A073385 * A022646 A268447 A259163

Adjacent sequences:  A036216 A036217 A036218 * A036220 A036221 A036222

KEYWORD

easy,nonn

AUTHOR

Wolfdieter Lang

STATUS

approved

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Last modified July 8 08:08 EDT 2020. Contains 335520 sequences. (Running on oeis4.)