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A036058 Summarize digits of preceding number! 4
0, 10, 1110, 3110, 132110, 13123110, 23124110, 1413223110, 1423224110, 2413323110, 1433223110, 1433223110, 1433223110, 1433223110, 1433223110, 1433223110, 1433223110, 1433223110, 1433223110, 1433223110, 1433223110 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

This kind of counting sequence is always eventually periodic with period 1, 2 or 3. - Herve Lehning (lehning(AT)noos.fr), Oct 01 2003

LINKS

Table of n, a(n) for n=0..20.

Index entries for linear recurrences with constant coefficients, signature (1).

Herve Lehning, Computer-aided or analytic proof?, College Mathematics Journal, Vol. 21, No. 3, 1990, pp. 228-239.

EXAMPLE

The third term is 1110 because the second term contains one 1 and one 0.

PROG

(PARI) a(n)=if(n>9, 1433223110, [0, 10, 1110, 3110, 132110, 13123110, 23124110, 1413223110, 1423224110, 2413323110][n+1]) \\ Charles R Greathouse IV, Jul 24 2012

CROSSREFS

Cf. A001155, A005150, A007890, A036059, A036066.

Sequence in context: A138147 A204577 A210995 * A001155 A001391 A049064

Adjacent sequences:  A036055 A036056 A036057 * A036059 A036060 A036061

KEYWORD

nonn,base,easy,nice

AUTHOR

Floor van Lamoen

STATUS

approved

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Last modified November 18 21:51 EST 2017. Contains 294912 sequences.