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A167561 The fourth row of the ED2 array A167560. 3
24, 80, 192, 384, 680, 1104, 1680, 2432, 3384, 4560, 5984, 7680, 9672, 11984, 14640, 17664, 21080, 24912, 29184, 33920, 39144, 44880, 51152, 57984, 65400, 73424, 82080, 91392, 101384, 112080, 123504, 135680, 148632, 162384, 176960 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

G. C. Greubel, Table of n, a(n) for n = 1..1000

Index entries for linear recurrences with constant coefficients, signature (4,-6,4,-1).

FORMULA

a(n) = 4*n^3 + 4*n^2 + 16*n.

G.f.: (0*z^3 + 16*z^2 - 16*z + 24)/(1-z)^4.

a(n) = 4*a(n-1) - 6*a(n-2) + 4*a(n-3) - a(n-4). - G. C. Greubel, Jun 15 2016

MATHEMATICA

Table[4*n^3 + 4*n^2 + 16*n, {n, 1, 100}] (* or *) LinearRecurrence[{4, -6, 4, -1}, {24, 80, 192, 384}, 100] (* G. C. Greubel, Jun 15 2016 *)

CROSSREFS

Cf. A167560.

Sequence in context: A068379 A190102 A060673 * A211575 A211583 A211589

Adjacent sequences:  A167558 A167559 A167560 * A167562 A167563 A167564

KEYWORD

easy,nonn

AUTHOR

Johannes W. Meijer, Nov 10 2009

STATUS

approved

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Last modified September 19 18:06 EDT 2020. Contains 337181 sequences. (Running on oeis4.)