Revision History for A096976
(Underlined text is an addition;
strikethrough text is a deletion.)
Showing entries 1-10
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#41 by N. J. A. Sloane at Fri Dec 15 19:18:18 EST 2023
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#40 by Michael Somos at Tue Dec 12 19:04:07 EST 2023
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#39 by Michael Somos at Tue Dec 12 19:03:54 EST 2023
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| FORMULA
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a(n) = A077998(-n) for all n in Z. - Michael Somos, Dec 12 2023
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| EXAMPLE
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G.f. = 1 + x^2 + 2*x^4 + x^5 + 5*x^6 + 5*x^7 + 14*x^8 + 19*x^9 + ... - Michael Somos, Dec 12 2023
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| MATHEMATICA
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a[ n_] := {1, 0, 0} . MatrixPower[{{1, 2, -1}, {1, 0, 0}, {0, 1, 0}}, n] . {1, 1, 3}; (* Michael Somos, Dec 12 2023 *)
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| PROG
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(PARI) {a(n) = [1, 0, 0] * [1, 2, -1; 1, 0, 0; 0, 1, 0]^n * [1, 1, 3]~}; /* Michael Somos, Dec 12 2023 */
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| CROSSREFS
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Cf. A006053, A052547, A077998.
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| STATUS
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approved
editing
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Discussion
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| Tue Dec 12
| 19:04
| Michael Somos: Added more info.
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#38 by Alois P. Heinz at Wed Oct 26 19:22:04 EDT 2022
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#37 by Michael De Vlieger at Wed Oct 26 17:04:36 EDT 2022
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#36 by Michael De Vlieger at Wed Oct 26 17:04:34 EDT 2022
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| LINKS
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Tomislav Došlić, Mate Puljiz, Stjepan Šebek, and Josip Žubrinić, <a href="https://arxiv.org/abs/2210.12411">On a variant of Flory model</a>, arXiv:2210.12411 [math.CO], 2022.
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| STATUS
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approved
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#35 by Susanna Cuyler at Tue Mar 10 18:00:35 EDT 2020
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#34 by Michel Marcus at Tue Mar 10 13:46:30 EDT 2020
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#33 by Michel Marcus at Tue Mar 10 13:46:26 EDT 2020
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| LINKS
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Robin Chapman and Nicholas C. Singer, <a href="http://www.jstor.org/stable/4145281">Eigenvalues of a bidiagonal matrix</a>, Amer. Math. Monthly, 111 (2004) 441.
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| STATUS
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proposed
editing
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#32 by Michael De Vlieger at Tue Mar 10 13:44:14 EDT 2020
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