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2, 1, 12, 13, 142, 155, 1692, 1847, 20162, 22009, 240252, 262261, 2862862, 3125123, 34114092, 37239215, 406506242, 443745457, 4843960812, 5287706269, 57721023502, 63008729771, 687808321212, 750817050983, 8195978831042
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OFFSET
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1,1
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LINKS
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Table of n, a(n) for n=1..25.
Index entries for linear recurrences with constant coefficients, signature (0,12,0,-1).
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FORMULA
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a(n) = a(n-1)+a(n-2) for n even, a(n) = 10*a(n-1)+a(n-2) for n odd; with a(1) = 2, a(2) = 1.
a(n) = 12*a(n-2)-a(n-4). G.f.: x*(x^3-12*x^2+x+2) / (x^4-12*x^2+1). [Colin Barker, Feb 18 2013]
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MATHEMATICA
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LinearRecurrence[{0, 12, 0, -1}, {2, 1, 12, 13}, 30] (* Harvey P. Dale, Oct 02 2017 *)
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CROSSREFS
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Cf. A087800, A077416, A000032, A162671.
Sequence in context: A278330 A048854 A151508 * A055392 A045873 A265022
Adjacent sequences: A164823 A164824 A164825 * A164827 A164828 A164829
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KEYWORD
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nonn,easy,less
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AUTHOR
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Mark Dols, Aug 27 2009
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EXTENSIONS
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Better name by Paul Muljadi, Jan 13 2011
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STATUS
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approved
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