A368114 - OEIS

A368114

Trajectory of 11 under the '11x+1' map.

11, 122, 61, 672, 336, 168, 84, 42, 21, 7, 1, 12, 6, 3, 1, 12, 6, 3, 1, 12, 6, 3, 1, 12, 6, 3, 1, 12, 6, 3, 1, 12, 6, 3, 1, 12, 6, 3, 1, 12, 6, 3, 1, 12, 6, 3, 1, 12, 6, 3, 1, 12, 6, 3, 1, 12, 6, 3, 1, 12, 6, 3, 1, 12, 6, 3, 1, 12, 6, 3, 1, 12, 6, 3, 1, 12, 6, 3, 1

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OFFSET

0,1

COMMENTS

See A368085 for definition and cross references.

LINKS

Table of n, a(n) for n=0..78.

Index entries for linear recurrences with constant coefficients, signature (0,0,0,1).

FORMULA

G.f.: (11 + 122*x + 61*x^2 + 672*x^3 + 325*x^4 + 46*x^5 + 23*x^6 - 630*x^7 - 315*x^8 - 161*x^9 - 83*x^10 - 30*x^11 - 15*x^12 - 4*x^13)/(1 - x^4). - Stefano Spezia, Jun 09 2024

MATHEMATICA

Px1[p_, n_]:=Catch[For[i=1, i<PrimePi[p], i++, If[Divisible[n, Prime[i]], Throw[n/Prime[i]]]]; p*n+1]; NestList[Px1[11, #]&, 11, 100]

CROSSREFS

Cf. A368085.

Sequence in context: A110398 A176595 A067218 * A293805 A358697 A288791

Adjacent sequences: A368111 A368112 A368113 * A368115 A368116 A368117

KEYWORD

nonn,easy

AUTHOR

Paolo Xausa, Dec 12 2023

STATUS

approved