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A156058
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5^n*Catalan(n).
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7
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1, 5, 50, 625, 8750, 131250, 2062500, 33515625, 558593750, 9496093750, 164023437500, 2870410156250, 50784179687500, 906860351562500, 16323486328125000, 295863189697265625, 5395152282714843750
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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LINKS
| Vincenzo Librandi, Table of n, a(n) for n = 0..200
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FORMULA
| a(n)=5^n*A000108(n).
a(n) = upper left term in M^n, M = the infinite square production matrix as follows:
5, 5, 0, 0, 0, 0,...
5, 5, 5, 0, 0, 0,...
5, 5, 5, 5, 0, 0,...
5, 5, 5, 5, 5, 0,...
...
- Gary W. Adamson, Jul 18 2011
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MAPLE
| A156058_list := proc(n) local j, a, w; a := array(0..n); a[0] := 1;
for w from 1 to n do a[w] := 5*(a[w-1]+add(a[j]*a[w-j-1], j=1..w-1)) od; convert(a, list)end: A156058_list(16); #Peter Luschny, May 19 2011
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MATHEMATICA
| Table[5^n CatalanNumber[n], {n, 0, 20}] (* From Harvey P. Dale, Mar 13 2011 *)
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PROG
| (MAGMA) [5^n*Catalan(n): n in [0..20]]; // Vincenzo Librandi, Jul 19 2011
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CROSSREFS
| Cf. A000108, A151374, A005159, A151403
Sequence in context: A079157 A199762 A078244 * A047736 A185272 A141316
Adjacent sequences: A156055 A156056 A156057 * A156059 A156060 A156061
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KEYWORD
| nonn,easy
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AUTHOR
| Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Feb 03 2009
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