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 A112435 Next term is the sum of the last 10 digits in the sequence, beginning with a(10) = 4. 2
 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 8, 16, 23, 28, 38, 45, 42, 41, 41, 36, 34, 32, 31, 30, 28, 29, 33, 34, 37, 44, 42, 37, 41, 39, 41, 38, 43, 40, 39, 39, 46, 45, 47, 54, 51, 45, 44, 43, 39, 42, 42, 39, 43, 43, 38, 43, 44, 40, 37, 40, 33, 32, 29, 36, 35, 39, 45, 49, 51, 48, 52, 47 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,10 COMMENTS Variation on Angelini's A112395. The sequence cycles at a(16)=38 and the loop has 312 terms. It is exactly the same loop as in A112433 "Next term is the sum of the last 10 digits in the sequence, beginning with a(10) = 2" and the first term of this 4-loop is the first term of that 2-loop . Computed by Gilles Sadowski. LINKS Harvey P. Dale, Table of n, a(n) for n = 1..1000 EXAMPLE a(16)=38 because 4 + 4 + 8 + 1+6 +2+3 + 2+8 = 38 MATHEMATICA nxt[{t_, a_}]:={Take[Join[t, IntegerDigits[Total[t]]], -10], Total[t]}; Join[ {0, 0, 0, 0, 0, 0, 0, 0, 0}, NestList[nxt, {{0, 0, 0, 0, 0, 0, 0, 0, 0, 4}, 4}, 80][[All, 2]]] (* Harvey P. Dale, Jun 22 2019 *) CROSSREFS Cf. A112395, A004207, A065075, A001370. Sequence in context: A244421 A030168 A261212 * A232508 A028610 A019171 Adjacent sequences:  A112432 A112433 A112434 * A112436 A112437 A112438 KEYWORD base,easy,nonn AUTHOR Alexandre Wajnberg, Dec 11 2005 STATUS approved

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Last modified October 15 01:40 EDT 2019. Contains 328025 sequences. (Running on oeis4.)