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A326834 a(0) = 0; a(1) = 0; for n > 0, a(n) = the sum of the number of times each digit in a(n-1) has occurred from a(0) to a(n-2) inclusive. 3
0, 0, 1, 0, 2, 0, 3, 0, 4, 0, 5, 0, 6, 0, 7, 0, 8, 0, 9, 0, 10, 12, 3, 1, 3, 2, 2, 3, 3, 4, 1, 4, 2, 4, 3, 5, 1, 5, 2, 5, 3, 6, 1, 6, 2, 6, 3, 7, 1, 7, 2, 7, 3, 8, 1, 8, 2, 8, 3, 9, 1, 9, 2, 9, 3, 10, 22, 20, 25, 17, 15, 17, 18, 18, 20, 28, 21, 32, 28, 25, 25, 27 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,5

COMMENTS

This sequence sums the previous digits the same way as A309261, except that here digits in a(n-1) are not considered unique, so each digit in a(n-1) is summed regardless of the number of times it appears in a(n-1). This leads to this sequence being the same as A309261 up to a(66) = 22, after which they diverge.

LINKS

Scott R. Shannon, Table of n, a(n) for n = 0..19999

Scott R. Shannon, Plot of a(n) for n = 0..10^6 [This is a dramatic graph - N. J. A. Sloane, Oct 21 2019]

EXAMPLE

a(2) = 1, as a(1) = 0, and '0' has occurred one previous time in the sequence before a(1).

a(62) = 2, as a(61) = 9, and '9' has occurred two previous times. '2' has now occurred 10 times in the sequence.

a(66) = 22, as a(65) = 10, and '1' has occurred ten previous times, and '0' has occurred twelve previous times, and 10 + 12 = 22.

a(67) = 20, as a(66) = 22, and '2' has occurred ten previous times, and '2' has occurred ten previous times, and 10 + 10 = 20.

CROSSREFS

Cf. A004207, A309261.

Sequence in context: A276457 A171181 A309261 * A034948 A135472 A008723

Adjacent sequences:  A326831 A326832 A326833 * A326835 A326836 A326837

KEYWORD

nonn,base

AUTHOR

Scott R. Shannon, Oct 20 2019

STATUS

approved

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Last modified May 6 01:03 EDT 2021. Contains 343579 sequences. (Running on oeis4.)