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A165804 Numbers of the form i*8^j-1 (i=1..7, j >= 0). 8
0, 1, 2, 3, 4, 5, 6, 7, 15, 23, 31, 39, 47, 55, 63, 127, 191, 255, 319, 383, 447, 511, 1023, 1535, 2047, 2559, 3071, 3583, 4095, 8191, 12287, 16383, 20479, 24575, 28671, 32767, 65535, 98303, 131071, 163839, 196607, 229375, 262143, 524287, 786431, 1048575, 1310719, 1572863, 1835007, 2097151 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

LINKS

Table of n, a(n) for n=1..50.

Index entries for linear recurrences with constant coefficients, signature (1,0,0,0,0,0,8,-8).

FORMULA

G.f.: x^2*(x^6+x^5+x^4+x^3+x^2+x+1) / ((x-1)*(8*x^7-1)). [Colin Barker, Feb 01 2013]

MATHEMATICA

Sort[Flatten[Table[i 8^j-1, {i, 1, 7}, {j, 0, 7}]]]  (* Harvey P. Dale, Feb 03 2011 *)

CROSSREFS

Smallest number whose base b sum of digits is n: A000225 (b=2), A062318 (b=3), A180516 (b=4), A181287 (b=5), A181288 (b=6), A181303 (b=7), this sequence (b=8), A140576 (b=9), A051885 (b=10). - Jason Kimberley, Nov 02 2011

Sequence in context: A171649 A146028 A263469 * A055402 A274839 A065640

Adjacent sequences:  A165801 A165802 A165803 * A165805 A165806 A165807

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane, Jan 25 2011

STATUS

approved

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Last modified June 22 12:24 EDT 2017. Contains 288613 sequences.