The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A061318 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
Showing entries 1-10 | older changes

A061318

Column 3 of A061314.
(history; published version)

#13 by N. J. A. Sloane at Fri Sep 01 04:21:11 EDT 2023

STATUS

proposed

approved

#12 by Stefano Spezia at Thu Aug 31 15:02:14 EDT 2023

STATUS

editing

proposed

#11 by Stefano Spezia at Thu Aug 31 13:15:46 EDT 2023

EXTENSIONS

a(25)-a(29) from Stefano Spezia, Aug 31 2023

#10 by Stefano Spezia at Thu Aug 31 13:15:14 EDT 2023

DATA

0, 4, 40, 304, 1720, 7480, 26404, 79240, 209304, 499140, 1095160, 2242504, 4332640, 7966504, 14036260, 23829040, 39156304, 62512740, 97268904, 147902080, 220270120, 321933304, 462529540, 654208504, 912130600, 1255036900, 1705896504, 2292638040, 3048972304, 4015313320

FORMULA

G.f. -4*x*(1+x+22*x^2+22*x^3+22*x^4+x^5+x^6) / (x-1)^9 . - R. J. Mathar, Aug 11 2012

#9 by Stefano Spezia at Thu Aug 31 13:11:23 EDT 2023

LINKS

<a href="/index/Rec#order_09">Index entries for linear recurrences with constant coefficients</a>, signature (9,-36,84,-126,126,-84,36,-9,1)

FORMULA

a(n) = A061316(n) + A006007(n)^2 = 4*A061319(n).

CROSSREFS

Cf. A006007, A061314, A061316, A061319.

STATUS

approved

editing

#8 by Harvey P. Dale at Tue Jul 04 13:14:20 EDT 2023

STATUS

editing

approved

#7 by Harvey P. Dale at Tue Jul 04 13:14:17 EDT 2023

MATHEMATICA

CoefficientList[Series[-4x (1+x+22x^2+22x^3+22x^4+x^5+x^6)/(x-1)^9, {x, 0, 30}], x] (* or *) LinearRecurrence[{9, -36, 84, -126, 126, -84, 36, -9, 1}, {0, 4, 40, 304, 1720, 7480, 26404, 79240, 209304}, 30] (* Harvey P. Dale, Jul 04 2023 *)

STATUS

approved

editing

#6 by Charles R Greathouse IV at Sat Jun 13 00:50:28 EDT 2015

LINKS

<a href="/index/Rec">Index to sequences with entries for linear recurrences with constant coefficients</a>, signature (9,-36,84,-126,126,-84,36,-9,1)

Discussion

Sat Jun 13

00:50

OEIS Server: https://oeis.org/edit/global/2439

#5 by Charles R Greathouse IV at Fri Jun 12 15:32:36 EDT 2015

LINKS

<a href="/index/Rec#recLCC">Index to sequences with linear recurrences with constant coefficients</a>, signature (9,-36,84,-126,126,-84,36,-9,1)

Discussion

Fri Jun 12

15:32

OEIS Server: https://oeis.org/edit/global/2437

#4 by R. J. Mathar at Sat Aug 11 11:53:54 EDT 2012

STATUS

editing

approved