The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A011784

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A011784

Levine's sequence. First construct a triangle as follows. Row 1 is {1,1}; if row n is {r_1, ..., r_k} then row n+1 consists of {r_k 1's, r_{k-1} 2's, r_{k-2} 3's, etc.}; sequence consists of the final elements in each row.
(history; published version)

#109 by Alois P. Heinz at Thu Apr 25 10:41:29 EDT 2024

STATUS

proposed

approved

#108 by Michael De Vlieger at Thu Apr 25 10:36:33 EDT 2024

STATUS

editing

proposed

#107 by Michael De Vlieger at Thu Apr 25 10:36:27 EDT 2024

LINKS

Roland Miyamoto, <a href="https://arxiv.org/abs/2402.06618">Polynomial parametrisation of the canonical iterates to the solution of -gamma*g' = g^(-1)</a>, arXiv:2402.06618 [math.CO], 2024. See pp. 16-17.

STATUS

approved

editing

Discussion

Thu Apr 25

10:36

Michael De Vlieger: Minor edit.

#106 by Michael De Vlieger at Fri Feb 16 16:56:40 EST 2024

STATUS

reviewed

approved

#105 by Michel Marcus at Fri Feb 16 16:56:24 EST 2024

STATUS

proposed

reviewed

#104 by Michael De Vlieger at Fri Feb 16 16:45:07 EST 2024

STATUS

editing

proposed

#103 by Michael De Vlieger at Fri Feb 16 16:43:56 EST 2024

LINKS

Roland Miyamoto, <a href="https://arxiv.org/abs/2402.06618">Polynomial parametrisation of the canonical iterates to the solution of -gamma*g' = g^(-1)</a>, arXiv:2402.06618 [math.CO], 2024.

STATUS

approved

editing

Discussion

Fri Feb 16

16:45

Michael De Vlieger: (Please check to see if I correctly formatted the flattening of the title to acceptable characters in title. There are 5 more citations in this paper.)

#102 by N. J. A. Sloane at Sun Jul 24 22:19:24 EDT 2022

STATUS

editing

approved

#101 by N. J. A. Sloane at Sun Jul 24 22:19:22 EDT 2022

LINKS

N. J. A. Sloane, Colin Mallows, and Bjorn Poonen, <a href="/A011784/a011784.pdf">TITLE FOR LINKDiscussion of A011784.</a> [Scans of pages 150-155 and 164 of my notebook "Lattices 77", from June-July 1997.]

FORMULA

This follows from the inequalities S(n) <= a(n)L(n) and S(n+1) >= ([L(n+1)/a(n)]+1) choose 2)*a(n). See N. J. A. Sloane et al., Scans of Notebook pages.

STATUS

approved

editing

#100 by N. J. A. Sloane at Sun Jul 24 22:13:13 EDT 2022

STATUS

editing

approved