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A131246
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Row sums of triangle A131245.
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6
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1, 3, 6, 13, 27, 57, 119, 250, 523, 1097, 2297, 4815, 10086, 21137, 44283, 92793, 194419, 407378, 853559, 1788481, 3747361, 7851867, 16451910, 34471669, 72228171, 151339401, 317100335, 664418698, 1392152131
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| A131244 is a companion sequence.
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LINKS
| Index to sequences with linear recurrences with constant coefficients, signature (1,3,-1,-1)
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FORMULA
| G.f. -(1+x)*(x^2-x-1)/ ( 1-x-3*x^2+x^3+x^4 ). - R. J. Mathar, Jan 29 2011
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EXAMPLE
| a(3) = 13 = sum of row 3 terms of triangle A131245: (5 + 5 + 2 + 1)
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MAPLE
| A046854 := proc(n, k) binomial(floor((n+k)/2), k) ; end proc:
A131245 := proc(n, k) local a, j ; a := 0 ; for j from k to n do a := a+ A046854(n, j)*A046854(j, k) ; end do: a ; end proc:
A131246 := proc(n) add(A131245(n, k), k=0..n) ; end proc:
seq(A131246(n), n=0..50) ; # R. J. Mathar, Jan 29 2011
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CROSSREFS
| Cf. A131243, A131244, A131245, A065941, A046854.
Sequence in context: A092539 A094386 A099036 * A183314 A036886 A052251
Adjacent sequences: A131243 A131244 A131245 * A131247 A131248 A131249
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KEYWORD
| nonn
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AUTHOR
| Gary W. Adamson (qntmpkt(AT)yahoo.com), Jun 22 2007
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