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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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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; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| 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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PROG
| (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
| A159927
Sum of m-th row = A001710(m+1). [From Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Jun 02 2009]
Sequence in context: A185023 A061579 A094064 * A058344 A010582 A171175
Adjacent sequences: A159927 A159928 A159929 * A159931 A159932 A159933
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KEYWORD
| nonn,tabl
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AUTHOR
| Leroy Quet, Apr 26 2009
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EXTENSIONS
| More terms from Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Jun 02 2009
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