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A154693
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Triangle T(n,m) = ( 2^(n-m)+2^m )*A008292(n+1,m+1) read by rows.
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4
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2, 3, 3, 5, 16, 5, 9, 66, 66, 9, 17, 260, 528, 260, 17, 33, 1026, 3624, 3624, 1026, 33, 65, 4080, 23820, 38656, 23820, 4080, 65, 129, 16302, 154548, 374856, 374856, 154548, 16302, 129, 257, 65260, 993344, 3529360, 4998080, 3529360, 993344, 65260, 257
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refs;
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history;
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OFFSET
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0,1
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COMMENTS
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Row sums are A000629(n+1).
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LINKS
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Table of n, a(n) for n=0..44.
A. Lakhtakia, R. Messier, V. K. Varadan, V. V. Varadan, Use of combinatorial algebra for diffusion on fractals, Physical Review A, volume 34, Number 3 (1986) p. 2501, (FIG. 3)
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EXAMPLE
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The triangle starts in row n=0 with columns 0<=m<=n as:
2;
3, 3;
5, 16, 5;
9, 66, 66, 9;
17, 260, 528, 260, 17;
33, 1026, 3624, 3624, 1026, 33;
65, 4080, 23820, 38656, 23820, 4080, 65;
129, 16302, 154548, 374856, 374856, 154548, 16302, 129;
257, 65260, 993344, 3529360, 4998080, 3529360, 993344, 65260, 257;
513, 261354, 6314880, 32773824, 62896992, 62896992, 32773824, 6314880, 261354, 513;
1025, 1046504, 39685620, 299674368, 779049120, 1006351872, 779049120, 299674368, 39685620, 1046504, 1025;
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MATHEMATICA
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Clear[t, p, q, n, m]; p = 2; q = 1;
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
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Cf. A000629
Sequence in context: A053199 A045626 A154923 * A065854 A064776 A096659
Adjacent sequences: A154690 A154691 A154692 * A154694 A154695 A154696
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KEYWORD
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nonn,tabl
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AUTHOR
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Roger L. Bagula and Gary W. Adamson, Jan 14 2009
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EXTENSIONS
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Definition simplified by the Assoc. Eds. of the OEIS - Aug 08 2010.
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STATUS
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approved
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