The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A362255 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A362255

a(0) = a(1) = a(2) = 1, for n > 2, a(n) = a(n-1) + a(n-k) + k with k = 2.
(history; published version)

#7 by Ray Chandler at Wed Apr 19 02:47:14 EDT 2023

STATUS

editing

approved

#6 by Ray Chandler at Wed Apr 19 02:47:11 EDT 2023

LINKS

<a href="/index/Rec#order_0304">Index entries for linear recurrences with constant coefficients</a>, signature (2,-1,1,-1).

STATUS

approved

editing

#5 by N. J. A. Sloane at Thu Apr 13 14:09:03 EDT 2023

STATUS

proposed

approved

#4 by Michael De Vlieger at Thu Apr 13 12:20:52 EDT 2023

STATUS

editing

proposed

Discussion

Thu Apr 13

12:21

Michael De Vlieger: Sequence from paper not in OEIS.

#3 by Michael De Vlieger at Thu Apr 13 12:17:18 EDT 2023

NAME

allocated a(0) = a(1) = a(2) = 1, for Michael De Vliegern > 2, a(n) = a(n-1) + a(n-k) + k with k = 2.

DATA

1, 1, 1, 4, 7, 10, 16, 25, 37, 55, 82, 121, 178, 262, 385, 565, 829, 1216, 1783, 2614, 3832, 5617, 8233, 12067, 17686, 25921, 37990, 55678, 81601, 119593, 175273, 256876, 376471, 551746, 808624, 1185097, 1736845, 2545471, 3730570, 5467417, 8012890, 11743462, 17210881

OFFSET

0,4

COMMENTS

Called Leonardo 2-numbers in the Tan-Leung paper.

LINKS

Elif Tan and Ho-Hon Leung, <a href="https://doi.org/10.5281/zenodo.7569221">On Leonardo p-Numbers</a>, Integers (2023) Vol. 23, #A7. See p. 2.

<a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (2,-1,1,-1).

MATHEMATICA

LinearRecurrence[{2, -1, 1, -1}, {1, 1, 1, 4}, 40] (* or *)

With[{k = 2}, Nest[Append[#, #[[-1]] + #[[-k - 1]] + k] &, {1, 1, 1}, 40] ]

CROSSREFS

Cf. A001595, A111314, A362256.

KEYWORD

allocated

nonn,easy

AUTHOR

Michael De Vlieger, Apr 13 2023

STATUS

approved

editing

#2 by Michael De Vlieger at Thu Apr 13 12:06:39 EDT 2023

KEYWORD

allocating

allocated

#1 by Michael De Vlieger at Thu Apr 13 12:06:39 EDT 2023

NAME

allocated for Michael De Vlieger

KEYWORD

allocating

STATUS

approved