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Search: id:A101304
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A101304 2^(prime(n)+1)+1. +0
1
9, 17, 65, 257, 4097, 16385, 262145, 1048577, 16777217, 1073741825, 4294967297, 274877906945, 4398046511105, 17592186044417, 281474976710657, 18014398509481985, 1152921504606846977, 4611686018427387905 (list; graph; listen)
OFFSET

1,1

COMMENT

Decimal numbers in which binary form is given by 1x1 where x is a repeated 0 multiplied by prime numbers.

EXAMPLE

prime(n)=a ==> convert(1 (0xa times) 1,decimal,2) = b # note a zeros

::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::

prime(1)=2 ==> convert(1001,decimal,2) = 9 # note 2 zeros

prime(2)=3 ==> convert(10001,decimal,2) = 17 # note 3 zeros

prime(3)=5 ==> convert(1000001,decimal,2) = 65 # note 5 zeros

prime(3)=7 ==> convert(100000001,decimal,2) = 257 # note 7 zeros

MAPLE

convert(1001, decimal, 2), convert(10001, decimal, 2), convert(1000001, decimal, 2), convert(100000001, decimal, 2), convert(1000000000001, decimal, 2), convert(100000000000001, decimal, 2), convert(1000000000000000001, decimal, 2), convert(100000000000000000001, decimal, 2), convert(1000000000000000000000001, decimal, 2), convert(1000000000000000000000000000001, decimal, 2), convert(100000000000000000000000000000001, decimal, 2);

MATHEMATICA

Table[2^(Prime[n] + 1) + 1, {n, 18}] (from Robert G. Wilson v Dec 22 2004)

CROSSREFS

Cf. A000051.

Sequence in context: A127193 A097478 A055393 this_sequence A121955 A118852 A118527

Adjacent sequences: A101301 A101302 A101303 this_sequence A101305 A101306 A101307

KEYWORD

nonn

AUTHOR

Jorge Coveiro (jorgecoveiro(AT)yahoo.com), Dec 22 2004

EXTENSIONS

Edited and extended by Robert G. Wilson v (rgwv(AT)rgwv.com), Dec 22 2004

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Last modified July 26 23:19 EDT 2008. Contains 142293 sequences.


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