The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A368023 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A368023

a(n) is the permanent of the n-th order Hankel matrix of Catalan numbers M(n) whose generic element is given by M(i,j) = A000108(i+j+5) with i,j = 0, ..., n-1.
(history; published version)

#16 by Amiram Eldar at Sat Dec 23 12:55:35 EST 2023

STATUS

reviewed

approved

#15 by Michel Marcus at Sat Dec 23 12:55:14 EST 2023

STATUS

proposed

reviewed

#14 by Stefano Spezia at Sat Dec 23 12:44:19 EST 2023

STATUS

editing

proposed

#13 by Stefano Spezia at Sat Dec 23 12:42:16 EST 2023

CROSSREFS

Cf. A278843, A368012, A368019, A368020, A368021, A368022, A368024, A368025.

STATUS

approved

editing

Discussion

Sat Dec 23

12:44

Stefano Spezia: RIFO recycled A368020. I finished with changing all the related crossrefs

#12 by Michael De Vlieger at Wed Dec 20 08:02:51 EST 2023

STATUS

reviewed

approved

#11 by Michel Marcus at Wed Dec 20 05:27:31 EST 2023

STATUS

proposed

reviewed

#10 by Michel Marcus at Mon Dec 11 02:01:47 EST 2023

STATUS

editing

proposed

#9 by Michel Marcus at Mon Dec 11 02:01:44 EST 2023

PROG

(PARI) C(n) = binomial(2*n, n)/(n+1); \\ A000108

a(n) = matpermanent(matrix(n, n, i, j, C(i+j+3))); \\ Michel Marcus, Dec 11 2023

STATUS

proposed

editing

#8 by Stefano Spezia at Fri Dec 08 17:16:54 EST 2023

STATUS

editing

proposed

#7 by Stefano Spezia at Fri Dec 08 17:14:16 EST 2023

LINKS

Arthur T. Benjamin, Naiomi T. Cameron, Jennifer J. Quinn, and Carl R. Yerger, <a href="https://combinatorialpress.com/cn/arch/vol200/">Catalan determinants-a combinatorial approach</a>, Congressus Numerantium 200, 27-34 (2010). <a href="https://www.researchgate.net/publication/249812385_Catalan_determinants-a_combinatorial_approach">On ResearchGate</a>.

M. E. Mays and Jerzy Wojciechowski, <a href="https://doi.org/10.1016/S0012-365X(99)00140-5">A determinant property of Catalan numbers</a>. Discrete Math. 211, No. 1-3, 125-133 (2000).