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A036066 The summarize Lucas sequence: summarize the previous two terms, start with 1, 3. 3
1, 3, 1311, 2331, 331241, 14432231, 34433241, 54533231, 2544632221, 163534435221, 263544436231, 363554634231, 463554733221, 17364544733221, 37263554634231, 37363554734231, 37364544933221, 1937263554933221 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

After the 26th term the sequence goes into a cycle of 46 terms.

"Summarize" uses here method C = A244112: in order of decreasing digit value.

LINKS

Table of n, a(n) for n=0..17.

FORMULA

a(n+1) = A244112(concat(a(n),a(n-1))). - M. F. Hasler, Feb 25 2018

MATHEMATICA

a[0] = 1; a[1] = 3; a[n_] := a[n] = FromDigits @ Flatten @ Reverse @ Select[ Transpose @ { DigitCount[a[n-1]] + DigitCount[a[n-2]], Append[ Range[9], 0]}, #[[1]] > 0 &];

Table[a[n], {n, 0, 17}] (* Jean-Fran├žois Alcover, Dec 30 2017 *)

PROG

(PARI) {a=[1, 3]; for(n=1, 50, a=concat(a, A244112(eval(Str(a[n], a[n+1]))))); a} \\ M. F. Hasler, Feb 25 2018

CROSSREFS

Cf. A036059.

Cf. A244112 (summarizing as used here: by decreasing digit value), A047842 (alternative summarizing method: by increasing digit value), A047843 (another method: don't omit missing digits between smallest and largest one).

Sequence in context: A129078 A174826 A122389 * A262516 A060307 A119111

Adjacent sequences:  A036063 A036064 A036065 * A036067 A036068 A036069

KEYWORD

base,easy,nice,nonn

AUTHOR

Floor van Lamoen

STATUS

approved

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Last modified February 25 05:01 EST 2020. Contains 332217 sequences. (Running on oeis4.)