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A154590 2n^2+16n+6. 1
24, 46, 72, 102, 136, 174, 216, 262, 312, 366, 424, 486, 552, 622, 696, 774, 856, 942, 1032, 1126, 1224, 1326, 1432, 1542, 1656, 1774, 1896, 2022, 2152, 2286, 2424, 2566, 2712, 2862, 3016, 3174, 3336, 3502, 3672, 3846, 4024, 4206, 4392, 4582, 4776, 4974, 5176 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

Eighth diagonal [A144562]; 2*a(n)+52 is a square.

LINKS

Index to sequences with linear recurrences with constant coefficients, signature (3,-3,1).

Harvey P. Dale, Table of n, a(n) for n = 1..1000

FORMULA

a(n) = 2*A116711(n+3).

G.f.: -2*x*(3*x-4)*(x-3)/(x-1)^3.

MATHEMATICA

Table[2n^2+16n+6, {n, 50}] (* or *) LinearRecurrence[{3, -3, 1}, {24, 46, 72}, 50] (* From Harvey P. Dale, Dec 27 2011 *)

CROSSREFS

Cf. A144562, A067076, A153238

Sequence in context: A055480 A000496 A063323 * A028992 A040552 A199545

Adjacent sequences:  A154587 A154588 A154589 * A154591 A154592 A154593

KEYWORD

nonn,easy

AUTHOR

Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Jan 12 2009

EXTENSIONS

Corrected (a[31) added) by Harvey P. Dale, Dec 27 2011

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Last modified February 17 16:13 EST 2012. Contains 206050 sequences.