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 A145684 Triangle T(n,k) = 2^(1 + floor((n-1)/2)) * A158893(n,k+1). 1
 2, 16, 2, 60, 8, 4, 88, 12, 8, 4, 232, 32, 24, 16, 8, 288, 40, 32, 24, 16, 8, 688, 96, 80, 64, 48, 32, 16, 800, 112, 96, 80, 64, 48, 32, 16, 1824, 256, 224, 192, 160, 128, 96, 64, 32, 2048, 288, 256, 224, 192, 160, 128, 96, 64, 32 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Row sums are 2, 18, 72, 112, 312, 408, 1024, 1248, 2976, 3488, .... REFERENCES H. S. M. Coxeter, Regular Polytopes, 3rd ed., Dover, NY, 1973, pp. 159-162. LINKS Table of n, a(n) for n=1..55. EXAMPLE The triangle starts in row n=1 with columns 0 <= k < n as: 2; 16, 2; 60, 8, 4; 88, 12, 8, 4; 232, 32, 24, 16, 8; 288, 40, 32, 24, 16, 8; 688, 96, 80, 64, 48, 32, 16; 800, 112, 96, 80, 64, 48, 32, 16; 1824, 256, 224, 192, 160, 128, 96, 64, 32; 2048, 288, 256, 224, 192, 160, 128, 96, 64, 32; MAPLE A145684 := proc(n, k) if k = 0 then 7*n-6 ; else n-k; end if; 2^(1+floor((n-1)/2))*% ; end proc: # R. J. Mathar, Sep 02 2011 MATHEMATICA Clear[e, n, k]; e[n_, 0] := 7*n - 6; e[n_, k_] := 0 /; k >= n; e[n_, k_] := (e[n - 1, k]*e[n, k - 1] + 1)/e[n - 1, k - 1]; Table[Table[2^(Floor[(n - 1)/2] + 1)*e[n, k], {k, 0, n - 1}], {n, 1, 10}]; Flatten[%] CROSSREFS Sequence in context: A300138 A362884 A217028 * A254637 A197226 A141239 Adjacent sequences: A145681 A145682 A145683 * A145685 A145686 A145687 KEYWORD nonn,tabl AUTHOR Roger L. Bagula and Gary W. Adamson, Mar 29 2009 EXTENSIONS Description simplified by R. J. Mathar, Sep 02 2011 STATUS approved

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Last modified May 22 15:18 EDT 2024. Contains 372758 sequences. (Running on oeis4.)