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A073271 Floor(prime(n)*prime(n+2) / prime(n+1)). +0
4
3, 4, 7, 8, 14, 14, 20, 23, 24, 34, 34, 38, 44, 48, 52, 54, 64, 64, 68, 76, 76, 84, 90, 92, 98, 104, 104, 110, 122, 116, 132, 132, 146, 140, 154, 156, 160, 168, 172, 174, 188, 182, 194, 194, 208, 210, 214, 224, 230, 234, 234, 248, 246, 256, 262, 264, 274, 274 (list; graph; listen)
OFFSET

1,1

COMMENT

A000040(n) < a(n) < A000040(n+2);

Conjecture: a(n) is even except for a(1)=3, a(3)=7 and a(8)=23 (A073272(n)=0).

EXAMPLE

A000040(10)*A000040(12)/A000040(11) = 29*37/31 = 1073/31 = 34*31+19, therefore a(10)=34; A073272(10) = A000040(11)-a(10) = 31-34 = -3.

CROSSREFS

Cf. A000040, A022462, A073272, A073273.

Sequence in context: A060023 A120355 A114210 this_sequence A117471 A112062 A037013

Adjacent sequences: A073268 A073269 A073270 this_sequence A073272 A073273 A073274

KEYWORD

nonn

AUTHOR

Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Jul 22 2002

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Last modified November 30 13:13 EST 2009. Contains 167758 sequences.


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