A214040 - OEIS

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A214040

a(n)=a(n-1)+floor((a(n-2)+a(n-3))/2), with a(n)=n for n<3.

0, 1, 2, 2, 3, 5, 7, 11, 17, 26, 40, 61, 94, 144, 221, 340, 522, 802, 1233, 1895, 2912, 4476, 6879, 10573, 16250, 24976, 38387, 59000, 90681, 139374, 214214, 329241, 506035, 777762, 1195400, 1837298, 2823879, 4340228, 6670816, 10252869, 15758391, 24220233

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,3

LINKS

Table of n, a(n) for n=0..41.

MATHEMATICA

RecurrenceTable[{a[0]==0, a[1]==1, a[2]==2, a[n]==a[n-1]+Floor[(a[n-2]+ a[n-3])/2]}, a, {n, 50}] (* Harvey P. Dale, Aug 25 2014 *)

PROG

(PARI) a(n) = if (n < 3, n, a(n-1) + (a(n-2)+a(n-3))\2) \\ Michel Marcus, Jul 10 2013

CROSSREFS

Cf. A214039, A214041.

Sequence in context: A133225 A240487 A066889 * A077419 A125189 A226498

Adjacent sequences: A214037 A214038 A214039 * A214041 A214042 A214043

KEYWORD

nonn

AUTHOR

Alex Ratushnyak, Jul 01 2012

STATUS

approved