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A154694
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Triangle T(n,m) = ((3/2)^m*2^n+(2/3)^m*3^n)*A008292(n+1,m+1) read by rows.
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3
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2, 5, 5, 13, 48, 13, 35, 330, 330, 35, 97, 2028, 4752, 2028, 97, 275, 11970, 54360, 54360, 11970, 275, 793, 69840, 557388, 1043712, 557388, 69840, 793, 2315, 407550, 5409180, 16868520, 16868520, 5409180, 407550, 2315, 6817, 2388516, 51011136
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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COMMENTS
| Row sums are A004123(n+2).
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LINKS
| A. Lakhtakia, R. Messier, V. K. Varadan, V. V. Varadan, Use of combinatorial algebra for diffusion on fractals, Physical Review A 34 (3) (1986) 1986, page 2502, (FIG. 3)
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EXAMPLE
| 2;
5, 5 ;
13, 48, 13 ;
35, 330, 330, 35 ;
97, 2028, 4752, 2028, 97 ;
275, 11970, 54360, 54360, 11970, 275 ;
793, 69840, 557388, 1043712, 557388, 69840, 793 ;
2315, 407550, 5409180, 16868520, 16868520, 5409180, 407550, 2315 ;
6817, 2388516, 51011136, 247761072, 404844480, 247761072, 51011136, 2388516, 6817 ;
20195, 14070570, 473616000, 3441251520, 8491093920, 8491093920, 3441251520, 473616000, 14070570, 20195 ;
60073, 83276472, 4357481076, 46167480576, 164067744672, 244543504896, 164067744672, 46167480576, 4357481076, 83276472, 60073 ;
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MATHEMATICA
| Clear[t, p, q, n, m]; p = 2; q = 3;
t[n_, m_] =(p^(n - m)*q^m + p^m*q^(n - m))*Sum[(-1)^j*Binomial[n + 2, j]*(m - j + 1)^(n + 1), {j, 0, m + 1}];
Table[Table[t[n, m], {m, 0, n}], {n, 0, 10}];
Flatten[%]
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CROSSREFS
| Cf. A004123
Sequence in context: A144293 A174098 A183419 * A154696 A154698 A063786
Adjacent sequences: A154691 A154692 A154693 * A154695 A154696 A154697
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KEYWORD
| nonn,tabl,easy
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AUTHOR
| Roger L. Bagula and Gary W. Adamson (rlbagulatftn(AT)yahoo.com), Jan 14 2009
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EXTENSIONS
| Definition simplified by the Assoc. Eds. of the OEIS, Jun 07 2010
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