

A047473


Numbers that are congruent to {2, 3} mod 8.


1



2, 3, 10, 11, 18, 19, 26, 27, 34, 35, 42, 43, 50, 51, 58, 59, 66, 67, 74, 75, 82, 83, 90, 91, 98, 99, 106, 107, 114, 115, 122, 123, 130, 131, 138, 139, 146, 147, 154, 155, 162, 163, 170, 171, 178, 179, 186, 187, 194, 195, 202, 203, 210, 211, 218, 219, 226, 227, 234
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OFFSET

1,1


COMMENTS

Numbers k such that k and k+2 have the same digital binary sum.  Benoit Cloitre, Dec 01 2002
Also, numbers k such that k*(3*k + 1)/8 + 1/4 is a nonnegative integer.  Bruno Berselli, Feb 14 2017


LINKS

Table of n, a(n) for n=1..59.
Index entries for linear recurrences with constant coefficients, signature (1,1,1).


FORMULA

a(n) = 8*n  a(n1)  11 for n>1, a(1)=2.  Vincenzo Librandi, Aug 06 2010
From R. J. Mathar, Oct 08 2011: (Start)
a(n) = 4*n  7/2  3*(1)^n/2.
G.f.: x*(2 + x + 5*x^2)/((1 + x)*(1  x)^2). (End)
a(1)=2, a(2)=3, a(3)=10; for n>3, a(n) = a(n1) + a(n2)  a(n3).  Harvey P. Dale, Sep 28 2012


MATHEMATICA

Flatten[# + {2, 3} &/@ (8 Range[0, 30])] (* or *) LinearRecurrence[{1, 1, 1}, {2, 3, 10}, 60] (* Harvey P. Dale, Sep 28 2012 *)


CROSSREFS

Sequence in context: A081706 A032804 A248407 * A270474 A008509 A281366
Adjacent sequences: A047470 A047471 A047472 * A047474 A047475 A047476


KEYWORD

nonn,easy


AUTHOR

N. J. A. Sloane.


EXTENSIONS

More terms from Vincenzo Librandi, Aug 06 2010


STATUS

approved



