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A036223
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Expansion of 1/(1-3*x)^10; 10-fold convolution of A000244 (powers of 3).
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3
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1, 30, 495, 5940, 57915, 486486, 3648645, 25019280, 159497910, 956987460, 5454828522, 29753610120, 156206453130, 793048146660, 3908594437110, 18761253298128, 87943374834975, 403504896301650, 1815772033357425
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| a(n)=A027465(n+10,10) (O. Gerard's triangle).
With a different offset, number of n-permutations (n>=9) of 4 objects: u, v, z, x with repetition allowed, containing exactly nine (9) u's. - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jul 02 2008
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LINKS
| Vincenzo Librandi, Table of n, a(n) for n = 0..400
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FORMULA
| a(n) = 3^n*binomial(n+9, 9); G.f. 1/(1-3*x)^10.
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MAPLE
| seq(binomial(n+9, 9)*3^n, n=0..20); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jul 02 2008
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PROG
| (Other) SAGE:[lucas_number2(n, 3, 0)*binomial(n, 9)/3^9 for n in xrange(9, 28)] # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Mar 13 2009]
(MAGMA) [3^n*Binomial(n+9, 9): n in [0..30]]; // Vincenzo Librandi, Oct 15 2011
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CROSSREFS
| A000244, A027465.
Sequence in context: A127544 A133927 A082556 * A022658 A090957 A060560
Adjacent sequences: A036220 A036221 A036222 * A036224 A036225 A036226
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KEYWORD
| easy,nonn
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AUTHOR
| Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de)
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