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4, 36, 100, 196, 324, 484, 676, 900, 1156, 1444, 1764, 2116, 2500, 2916, 3364, 3844, 4356, 4900, 5476, 6084, 6724, 7396, 8100, 8836, 9604, 10404, 11236, 12100, 12996, 13924, 14884, 15876, 16900, 17956
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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COMMENTS
| A bisection of A016742. Sequence arises from reading the line from 4, in the direction 4, 36,... in the square spiral whose vertices are the squares A000290. - Omar E. Pol (info(AT)polprimos.com), May 24 2008
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LINKS
| Index entries for sequences related to linear recurrences with constant coefficients, signature (3,-3,1).~
Harvey P. Dale, Table of n, a(n) for n = 0..1000
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FORMULA
| a(n)=a(n-1)+32*n (with a(0)=4) [From Vincenzo Librandi, Dec 15 2010]
a(0)=4, a(1)=36, a(2)=100, a(n)=3*a(n-1)-3*a(n-2)+a(n-3) [From Harvey P. Dale, Nov 24 2011]
G.f.: -((4*(x^2+6*x+1))/(x-1)^3) [From Harvey P. Dale, Nov 24 2011]
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MATHEMATICA
| (4*Range[0, 40]+2)^2 (* or *) LinearRecurrence[{3, -3, 1}, {4, 36, 100}, 40] (* From Harvey P. Dale, Nov 24 2011 *)
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CROSSREFS
| Equals A001539 + 1.
Cf. A000290, A001539, A016742, A016754, A016802, A016814, A016838.
Sequence in context: A193833 A193183 A152760 * A190318 A193874 A038688
Adjacent sequences: A016823 A016824 A016825 * A016827 A016828 A016829
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KEYWORD
| nonn,easy
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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