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A067865 Numbers n such that n and 2^n end with the same two digits. 0
36, 136, 236, 336, 436, 536, 636, 736, 836, 936, 1036, 1136, 1236, 1336, 1436, 1536, 1636, 1736, 1836, 1936, 2036, 2136, 2236, 2336, 2436, 2536, 2636, 2736, 2836, 2936, 3036, 3136, 3236, 3336, 3436, 3536, 3636, 3736, 3836, 3936, 4036, 4136, 4236, 4336 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

2^36=68719476736 hence 36 is in the sequence.

LINKS

Table of n, a(n) for n=1..44.

Tanya Khovanova, Recursive Sequences

Index entries for linear recurrences with constant coefficients, signature (2,-1).

FORMULA

a(n) = 36+100(n-1).

a(n) = 2*a(n-1)-a(n-2). G.f.: 4*x*(9+16*x)/(1-x)^2. [Colin Barker, Dec 01 2012]

PROG

(PARI) isok(n) = (2^n - n) % 100 == 0; \\ Michel Marcus, Nov 23 2013

CROSSREFS

Cf. A064541.

Subsequence of A067844.

Sequence in context: A076578 A044368 A044749 * A272524 A245530 A138202

Adjacent sequences:  A067862 A067863 A067864 * A067866 A067867 A067868

KEYWORD

easy,nonn,base

AUTHOR

Benoit Cloitre, Mar 07 2002

STATUS

approved

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Last modified May 23 23:53 EDT 2017. Contains 286937 sequences.