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Search: id:A159930
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| A159930 |
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Triangle read by rows: a(1,1)=1. a(m,n) = a(m-1,n) + (sum of all terms in row m-1), for n<m. a(m,m) = sum of all terms in row m-1. |
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+0
1
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| 1, 2, 1, 5, 4, 3, 17, 16, 15, 12, 77, 76, 75, 72, 60, 437, 436, 435, 432, 420, 360, 2957, 2956, 2955, 2952, 2940, 2880, 2520, 23117, 23116, 23115, 23112, 23100, 23040, 22680, 20160, 204557, 204556, 204555, 204552, 204540, 204480, 204120, 201600
(list; table; graph; listen)
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OFFSET
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1,2
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COMMENT
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The sum of all terms in row m is (m+1)!/2. So a(m,n) = a(m-1,n) + m!/2, or is m!/2 if n=m.
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PROGRAM
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(MAGMA) S:=[1]; T:=S; for m in [2..9] do s:=&+T; T:=[ n lt m select T[n]+s else s: n in [1..m] ]; S:=S cat T; end for; S; [From Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Jun 02 2009]
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CROSSREFS
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A159927
Sum of m-th row = A001710(m+1). [From Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Jun 02 2009]
Sequence in context: A164679 A061579 A094064 this_sequence A058344 A010582 A019473
Adjacent sequences: A159927 A159928 A159929 this_sequence A159931 A159932 A159933
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KEYWORD
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nonn,tabl
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AUTHOR
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Leroy Quet (q1qq2qqq3qqqq(AT)yahoo.com), Apr 26 2009
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EXTENSIONS
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More terms from Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Jun 02 2009
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