A102116 - OEIS

%I #12 Dec 19 2015 00:28:10

%S 0,0,1,1,2,4,7,13,42,62,63,104,499,1458,9639,18409,101308,903221,

%T 943819,1141966,8512981,9527388,11871383,55668051,62931854,72771964,

%U 148399704,517843422,705114520,398159926,1173206822,3621090124,6895084900

%N Iccanobirt numbers (6 of 15): a(n) = R(a(n-1)) + R(a(n-2)) + a(n-3), where R is the digit reversal function A004086.

%C Digit reversal variation of tribonacci numbers A000073.

%C Inspired by Iccanobif numbers: A001129, A014258-A014260.

%H Harvey P. Dale, <a href="/A102116/b102116.txt">Table of n, a(n) for n = 0..1000</a>

%F A004086(a(n)) = A102124(n).

%t R[n_]:=FromDigits[Reverse[IntegerDigits[n]]];Clear[a];a[0]=0;a[1]=0;a[2]=1;a [n_]:=a[n]=R[a[n-1]]+R[a[n-2]]+a[n-3];Table[a[n], {n, 0, 40}]

%t nxt[{a_,b_,c_}]:={b,c,FromDigits[Reverse[IntegerDigits[c]]]+ FromDigits[ Reverse[ IntegerDigits[b]]]+a}; Transpose[NestList[nxt,{0,0,1},40]][[1]] (* _Harvey P. Dale_, Oct 10 2014 *)

%Y Cf. A102111-A102125.

%K nonn,base,easy

%O 0,5

%A _Jonathan Vos Post_ and _Ray Chandler_, Dec 30 2004