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A159926
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The sum of all terms in row 1 through m of triangle A159924.
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3
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1, 4, 16, 77, 447, 3053, 23978, 212750, 2103523, 22926004, 273008526, 3526184835, 49093579165, 732877502641, 11676946463092, 197775212369924, 3548276876195541, 67219485435345356, 1340841431830711580
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OFFSET
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1,2
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COMMENTS
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LINKS
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MAPLE
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A159924 := proc(n, m) option remember ; local s; if n = m then 1; else s := add(add(procname(r, c), c=1..r), r=1..n-1) ; procname(n-1, m)+s ; fi; end: A159925 := proc(n) local m; add( A159924(n, m), m=1..n) ; end: A159926 := proc(n) add( A159925(k), k=1..n) ; end: seq(A159926(n), n=1..40) ; # R. J. Mathar, Apr 29 2009
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MATHEMATICA
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Accumulate@ Map[Total, Block[{m = 0}, NestList[Block[{w = #}, AddTo[m, Total@ w]; Append[m + w, 1]] &, {1}, 18]] (* Michael De Vlieger, Oct 30 2017 *)
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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