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Search: id:A060074
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| 1, 1, 1, 5, 5, 1, 61, 61, 14, 1, 1385, 1385, 331, 30, 1, 50521, 50521, 12284, 1211, 55, 1, 2702765, 2702765, 663061, 68060, 3486, 91, 1, 199360981, 199360981, 49164554, 5162421, 281210, 8526, 140, 1
(list; table; graph; listen)
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OFFSET
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0,4
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COMMENT
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Row sums give A060059. Columns give A000364 (Euler numbers), A000364, A060075-78 for m=0,..,5.
Triangle can be used to express the Euler numbers E(n)=A000364(n), n >= 2, in terms of the numbers A060080 (scaled sums of squares), according to E(n+2)= sum(a(n,m)*A060080(m+2),m=0..n).
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FORMULA
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a(n, m)= a(n-1, m-1)+(m+1)^2*a(n, m+1), a(n, -1) := 0, a(0, 0)=1, a(n, m)=0 if n<m.
a(n, m)=A060058(n, n-m).
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EXAMPLE
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{1}; {1,1}; {5,5,1}; {61,61,14,1}; ...
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CROSSREFS
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Sequence in context: A075298 A060058 A092766 this_sequence A011501 A114348 A125642
Adjacent sequences: A060071 A060072 A060073 this_sequence A060075 A060076 A060077
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KEYWORD
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nonn,easy,tabl
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AUTHOR
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Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de), Mar 16 2001
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