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Search: id:A091768
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| 1, 2, 6, 22, 92, 426, 2150, 11708, 68282, 423948, 2788230, 19341952, 141003552, 1076787624, 8589843716, 71404154928, 617151121998, 5535236798058, 51426766394244, 494145546973656
(list; graph; listen)
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OFFSET
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0,2
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EXAMPLE
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The Bell numbers can be generated by;
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1 2
2 3 5
5 7 10 15
where the Bell numbers are the last entry on each line. This last entry is the first entry on the next line, and then the entries of the previous line are added, e.g. 7=5+2, 10=7+3, 15=10+5.
This version adds ALL of the entries in the previous column to the new entry.
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1 2
2 4 6
6 10 16 22
where 10=6+2+1+1, 16=10+2+4, 22=16+6
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PROGRAM
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(PARI) { v=vector(20); for (i=1, 20, v[i]=vector(i)); v[1][1]=1; for (i=2, 20, v[i][1]=v[i-1][i-1]; for (j=2, i, v[i][j]=v[i][j-1]+sum(k=j-1, i-1, v[k][j-1]))); for (i=1, 20, print1(", "v[i][i])) }
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CROSSREFS
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Close to A074664
Cf. A000110 (Bell Numbers).
Adjacent sequences: A091765 A091766 A091767 this_sequence A091769 A091770 A091771
Sequence in context: A124294 A124295 A074664 this_sequence A109317 A109153 A030453
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KEYWORD
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nonn
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AUTHOR
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Jon Perry (perry(AT)globalnet.co.uk), Mar 06 2004
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