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A370703
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Triangle read by rows: T(n, k) = denominator([x^k] n! [t^n] (t/2 + sqrt(1 + (t/2)^2))^(2*x)).
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1
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1, 1, 1, 1, 1, 1, 1, 4, 1, 1, 1, 1, 1, 1, 1, 1, 16, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 64, 1, 16, 1, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 256, 1, 16, 1, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1024, 1, 256, 1, 32, 1, 8, 1, 4, 1, 1
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OFFSET
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0,8
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LINKS
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EXAMPLE
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Triangle starts:
[0] 1;
[1] 1, 1;
[2] 1, 1, 1;
[3] 1, 4, 1, 1;
[4] 1, 1, 1, 1, 1;
[5] 1, 16, 1, 2, 1, 1;
[6] 1, 1, 1, 1, 1, 1, 1;
[7] 1, 64, 1, 16, 1, 4, 1, 1;
[8] 1, 1, 1, 1, 1, 1, 1, 1, 1;
[9] 1, 256, 1, 16, 1, 8, 1, 1, 1, 1;
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MAPLE
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gf := (t/2 + sqrt(1 + (t/2)^2))^(2*x): ser := series(gf, t, 20):
ct := n -> n!*coeff(ser, t, n): T := (n, k) -> denom(coeff(ct(n), x, k)):
seq(seq(T(n, k), k = 0..n), n = 0..11);
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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