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A125799
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Antidiagonal sums of table A125790.
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1
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1, 2, 4, 9, 25, 94, 520, 4521, 64793, 1581010, 67106004, 5029631745, 673439168257, 162631617757086, 71416302988324776, 57430160224301687377, 85096038984339418975505, 233592305902515392375925762
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| Table A125790 is related to partitions into powers of 2, with A002577 in column 1 of A125790; further, column k of A125790 equals row sums of matrix power A078121^k, where triangle A078121 shifts left one column under matrix square.
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PROG
| (PARI) {a(n)=local(q=2, A=Mat(1), B); for(m=1, n+1, B=matrix(m, m); for(i=1, m, for(j=1, i, if(j==i|j==1, B[i, j]=1, B[i, j]=(A^q)[i-1, j-1]); )); A=B); return(sum(c=0, n, (A^(c+1))[n-c+1, 1]))}
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CROSSREFS
| Cf. A125790, A078121; columns: A002577, A125792, A125793, A125794, A125795, A125796; diagonals: A125797, A125798.
Sequence in context: A173311 A127055 A124835 * A188669 A087378 A004252
Adjacent sequences: A125796 A125797 A125798 * A125800 A125801 A125802
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KEYWORD
| nonn
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AUTHOR
| Paul D. Hanna (pauldhanna(AT)juno.com), Dec 10 2006
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