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A112661 Sum of digits of sum of previous 3 terms. 2
1, 1, 1, 3, 5, 9, 8, 4, 3, 6, 4, 4, 5, 4, 4, 4, 3, 2, 9, 5, 7, 3, 6, 7, 7, 2, 7, 7, 7, 3, 8, 9, 2, 10, 3, 6, 10, 10, 8, 10, 10, 10, 3, 5, 9, 8, 4, 3, 6, 4, 4, 5, 4, 4, 4, 3, 2, 9, 5, 7, 3, 6, 7, 7, 2, 7, 7, 7, 3, 8, 9, 2, 10, 3, 6, 10, 10, 8, 10, 10, 10, 3, 5, 9, 8, 4, 3, 6, 4, 4, 5, 4, 4, 4 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

COMMENTS

Sum of digits, not iterated (i.e. not digital sum, reducing to single digit) as we twice get a term of 10 which we do not reduce to 1. This is to tribonacci (A000073) as A030132 is to Fibonacci (A000045). This sequence has a preamble of 3 terms (1, 1, 1), then enters a cycle of length 39 (ending with 10, 10, 10).

LINKS

Table of n, a(n) for n=0..93.

FORMULA

a(n+2) = sum of digits of (a(n) + a(n-1) + a(n-2)). a(n+2) = A007953(a(n) + a(n-1) + a(n-2)).

MATHEMATICA

a[0] = a[1] = a[2] = 1; a[n_] := a[n] = Total@ IntegerDigits[a[n-1] + a[n-2] + a[n-3]]; a /@ Range[0, 93] (* Giovanni Resta, Jun 17 2016 *)

CROSSREFS

Cf. A000073, A004090, A007953, A010888, A030132.

Sequence in context: A221967 A079428 A094548 * A230725 A254689 A176445

Adjacent sequences:  A112658 A112659 A112660 * A112662 A112663 A112664

KEYWORD

base,easy,nonn

AUTHOR

Jonathan Vos Post and Andrew Carmichael Post (andrewpost(AT)gmail.com), Dec 29 2005

EXTENSIONS

Data and name corrected by Giovanni Resta, Jun 17 2016

STATUS

approved

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Last modified December 15 11:43 EST 2019. Contains 329999 sequences. (Running on oeis4.)