The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A226449 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A226449

a(n) = n*(5*n^2-8*n+5)/2.
(history; published version)

#34 by Charles R Greathouse IV at Thu Sep 08 08:46:05 EDT 2022

PROG

(MAGMAMagma) [n*(5*n^2-8*n+5)/2: n in [0..40]];

(MAGMAMagma) I:=[0, 1, 9, 39]; [n le 4 select I[n] else 4*Self(n-1)-6*Self(n-2)+4*Self(n-3)-Self(n-4): n in [1..45]]; // Vincenzo Librandi, Aug 18 2013

Discussion

Thu Sep 08

08:46

OEIS Server: https://oeis.org/edit/global/2944

#33 by Harvey P. Dale at Fri May 19 13:42:21 EDT 2017

STATUS

editing

approved

#32 by Harvey P. Dale at Fri May 19 13:42:17 EDT 2017

MATHEMATICA

LinearRecurrence[{4, -6, 4, -1}, {0, 1, 9, 39}, 50] (* Harvey P. Dale, May 19 2017 *)

STATUS

approved

editing

#31 by Charles R Greathouse IV at Wed Oct 07 11:18:52 EDT 2015

STATUS

editing

approved

#30 by Charles R Greathouse IV at Wed Oct 07 11:18:47 EDT 2015

PROG

(PARI) a(n)=n*(5*n^2-8*n+5)/2 \\ Charles R Greathouse IV, Oct 07 2015

STATUS

approved

editing

#29 by Charles R Greathouse IV at Sat Jun 13 00:54:41 EDT 2015

LINKS

<a href="/index/Rec#order_04">Index to sequences with entries for linear recurrences with constant coefficients</a>, signature (4,-6,4,-1).

Discussion

Sat Jun 13

00:54

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

#28 by Bruno Berselli at Thu Dec 04 09:42:12 EST 2014

STATUS

editing

approved

#27 by Bruno Berselli at Thu Dec 04 09:42:08 EST 2014

NAME

a(n) = n*(5*n^2-8*n+5)/2.

STATUS

approved

editing

#26 by Bruno Berselli at Sat Dec 28 04:27:12 EST 2013

STATUS

editing

approved

#25 by Bruno Berselli at Sat Dec 28 04:27:09 EST 2013

COMMENTS

A006003(n) = A000217(n) + n*A000217(n-1) (b = triangular numbernumbers);

A069778(n) = A000290(n+1) + (n+1)*A000290(n) (b = square numbernumbers);

A143690(n) = A000326(n+1) + (n+1)*A000326(n) (b = pentagonal numbernumbers);

A212133(n) = A000384(n) + n*A000384(n-1) (b = hexagonal numbernumbers);

a(n) = A000566(n) + n*A000566(n-1) (b = heptagonal numbernumbers);

A226450(n) = A000567(n) + n*A000567(n-1) (b = octagonal numbernumbers);

A226451(n) = A001106(n) + n*A001106(n-1) (b = nonagonal numbernumbers);

A204674(n) = A001107(n+1) + (n+1)*A001107(n) (b = decagonal numbernumbers).

STATUS

approved

editing