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A099213
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a(n)=a(n-1)+a(n-2)+3a(n-3).
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3
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1, 1, 1, 5, 9, 17, 41, 85, 177, 385, 817, 1733, 3705, 7889, 16793, 35797, 76257, 162433, 346081, 737285, 1570665, 3346193, 7128713, 15186901, 32354193, 68927233, 146842129, 312831941, 666455769, 1419814097, 3024765689, 6443947093
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,4
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COMMENTS
| Binomial transform is A099214. Binomial transform of A099212.
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FORMULA
| G.f.: (1-x^2)/(1-x-x^2-3x^2)
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PROG
| sage: from sage.combinat.sloane_functions import recur_gen3 sage: it = recur_gen3(1, 1, 1, 1, 1, 3) sage: [it.next() for i in range(32)] - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jun 25 2008
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CROSSREFS
| Sequence in context: A020737 A147401 A062536 * A146067 A061502 A110349
Adjacent sequences: A099210 A099211 A099212 * A099214 A099215 A099216
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KEYWORD
| easy,nonn
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AUTHOR
| Paul Barry (pbarry(AT)wit.ie), Oct 06 2004
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