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A047998
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Triangle of numbers a(n,k) = number of "fountains" with n coins, k in the bottom row.
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3
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1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 3, 1, 0, 0, 0, 1, 3, 4, 1, 0, 0, 0, 0, 3, 6, 5, 1, 0, 0, 0, 0, 2, 7, 10, 6, 1, 0, 0, 0, 0, 1, 7, 14, 15, 7, 1, 0, 0, 0, 0, 1, 5, 17, 25, 21, 8, 1, 0, 0, 0, 0, 0, 5, 16, 35, 41, 28, 9, 1, 0, 0, 0, 0, 0, 3, 16, 40, 65, 63, 36, 10, 1, 0, 0, 0, 0, 0, 2, 14, 43, 86, 112, 92, 45, 11, 1, 0, 0, 0, 0, 0, 1, 11, 44, 102, 167, 182, 129, 55, 12, 1, 0, 0, 0, 0, 0, 1, 9, 40, 115, 219, 301, 282, 175, 66, 13, 1
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 0,14
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REFERENCES
| R. K. Guy, personal communication to N. J. A. Sloane.
See A005169 for further references.
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EXAMPLE
| Triangle begins:
1;
0,1;
0,0,1;
0,0,1,1;
0,0,0,2,1;
0,0,0,1,3,1;
0,0,0,1,3,4,1;
0,0,0,0,3,6,5,1;
0,0,0,0,2,7,10,6,1;
0,0,0,0,1,7,14,15,7,1;
0,0,0,0,1,5,17,25,21,8,1;
0,0,0,0,0,5,16,35,41,28,9,1;
0,0,0,0,0,3,16,40,65,63,36,10,1;
0,0,0,0,0,2,14,43,86,112,92,45,11,1;
0,0,0,0,0,1,11,44,102,167,182,129,55,12,1;
0,0,0,0,0,1,9,40,115,219,301,282,175,66,13,1;
0,0,0,0,0,0,7,37,118,268,434,512,420,231,78,14,1;
0,0,0,0,0,0,5,32,118,303,574,806,831,605,298,91,15,1;
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CROSSREFS
| Row sums give A005169.
Sequence in context: A032239 A057094 A186084 * A017847 A127841 A091006
Adjacent sequences: A047995 A047996 A047997 * A047999 A048000 A048001
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KEYWORD
| nonn,tabl,easy,nice
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
| More terms by Joerg Arndt, Mar 08 2011.
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