A102116 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.

0, 0, 1, 1, 2, 4, 7, 13, 42, 62, 63, 104, 499, 1458, 9639, 18409, 101308, 903221, 943819, 1141966, 8512981, 9527388, 11871383, 55668051, 62931854, 72771964, 148399704, 517843422, 705114520, 398159926, 1173206822, 3621090124, 6895084900

Offset

0,5

Comments

Digit reversal variation of tribonacci numbers A000073.

Inspired by Iccanobif numbers: A001129, A014258-A014260.

Links

Harvey P. Dale, Table of n, a(n) for n = 0..1000

Formula

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

Mathematica

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}]
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 *)

Crossrefs

Cf. A102111-A102125.

Sequence in context: A291481 A102114 A102115 * A102117 A220124 A101838

Adjacent sequences: A102113 A102114 A102115 * A102117 A102118 A102119

Keyword

nonn,base,easy

Author

Jonathan Vos Post and Ray Chandler, Dec 30 2004

Status

approved