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A108564 a(0) = 0, a(1) = 1, a(2) = 1, a(3) = 2, a(4) = 4, for n>3: a(n+1) = SORT[a(n) + a(n-1) + a(n-2) + a(n-3)], where SORT places digits in ascending order and deletes 0's. 3
0, 1, 1, 2, 4, 8, 15, 29, 56, 18, 118, 122, 134, 239, 136, 136, 456, 679, 147, 1148, 234, 228, 1577, 1378, 1347, 345, 4467, 3577, 3679, 1268, 11299, 12389, 23568, 24458, 11477, 12789, 22279, 137, 24668, 35789, 23788, 23488, 13377, 24469, 12258, 23579 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

COMMENTS

Sorted tetranacci numbers, a.k.a. sorted Fibonacci 4-step sequence.

As found by T. D. Noe: Max=4556699. Cycle period=41652. Cycle starts with the 23944th term.

LINKS

Table of n, a(n) for n=0..45.

Richard I. Hess, Problem 920: sorted Fibonacci sequence, Pi Mu Epsilon Journal, Vol. 10 (Fall 1998) No. 9, pp. 754-755.

EXAMPLE

a(8) = SORT[a(4) + a(5) + a(6) + a(7)] = SORT[108] = 18.

a(10) = SORT[a(6) + a(7) + a(8) + a(9)] = SORT[221] = 122.

CROSSREFS

Cf. A000078, A069638, A107281, A108565-A108573.

Sequence in context: A208976 A278554 A224959 * A066369 A239555 A275544

Adjacent sequences:  A108561 A108562 A108563 * A108565 A108566 A108567

KEYWORD

base,easy,nonn

AUTHOR

Jonathan Vos Post, Jun 10 2005

STATUS

approved

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Last modified June 24 14:26 EDT 2019. Contains 324325 sequences. (Running on oeis4.)