Revision History for A322190
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| A322190
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E.g.f.: A(x,y) = (cosh(x)*cosh(y) + sinh(x) + sinh(y)) / (1 - sinh(x)*sinh(y)), where A(x,y) = Sum_{n>=0} Sum_{k>=0} T(n,k) * x^n*y^k/(n!*k!), as a square table of coefficients T(n,k) read by antidiagonals.
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published version)
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#55 by Alois P. Heinz at Sat Dec 29 10:35:11 EST 2018
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#54 by Jean-François Alcover at Sat Dec 29 10:19:20 EST 2018
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#53 by Jean-François Alcover at Sat Dec 29 10:18:43 EST 2018
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| MATHEMATICA
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tt = Table[t[n-k, k], {n, 0, nmax}, {k, 0, nmax}]; n}] // Flatten (* _Jean-François Alcover_, Dec 26 2018 *)
T[n_, k_] := tt[[n+1, k+1]];
Table[T[n-k, k], {n, 0, nmax}, {k, 0, n}] // Flatten (* Jean-François Alcover, Dec 26 2018 *)
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approved
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Discussion
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| Sat Dec 29
| 10:19
| Jean-François Alcover: Simplified Mma code.
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#52 by Michel Marcus at Wed Dec 26 10:45:03 EST 2018
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#51 by Joerg Arndt at Wed Dec 26 10:36:02 EST 2018
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#50 by Jean-François Alcover at Wed Dec 26 09:56:53 EST 2018
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#49 by Jean-François Alcover at Wed Dec 26 09:56:45 EST 2018
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nmax = 13;
t[n_, k_] := SeriesCoefficient[(Cosh[x] Cosh[y] + Sinh[x] + Sinh[y])/(1 - Sinh[x] Sinh[y]), {x, 0, n}, {y, 0, k}] n! k!;
tt = Table[t[n, k], {n, 0, nmax}, {k, 0, nmax}];
T[n_, k_] := tt[[n+1, k+1]];
Table[T[n-k, k], {n, 0, nmax}, {k, 0, n}] // Flatten (* Jean-François Alcover, Dec 26 2018 *)
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#48 by Paul D. Hanna at Sat Dec 22 04:18:59 EST 2018
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#47 by Paul D. Hanna at Sat Dec 22 04:18:56 EST 2018
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| FORMULA
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E.g.f.: A(x,y) = C(x,y) + S(x,y) such that the following identities holdshold.
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#46 by Paul D. Hanna at Sat Dec 22 04:16:41 EST 2018
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