A086529 - OEIS

A086529

Beginning with 2, distinct even numbers such that the arithmetic mean of successive pairs of terms gives odd primes in their natural order. {a(n) + a(n+1)}/2 = prime(n+1).

2, 4, 6, 8, 14, 12, 22, 16, 30, 28, 34, 40, 42, 44, 50, 56, 62, 60, 74, 68, 78, 80, 86, 92, 102, 100, 106, 108, 110, 116, 138, 124, 150, 128, 170, 132, 182, 144, 190, 156, 202, 160, 222, 164, 230, 168, 254, 192, 262, 196, 270, 208, 274, 228, 286, 240, 298, 244

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OFFSET

1,1

LINKS

Table of n, a(n) for n=1..58.

FORMULA

a(n) = 2*(sum(i = 2, n, ((-1)^(n-i)*p(i)))-(-1)^n) - David Wasserman, Mar 14 2005

CROSSREFS

Sequence in context: A014320 A080377 A086526 * A054409 A344001 A152973

Adjacent sequences: A086526 A086527 A086528 * A086530 A086531 A086532

KEYWORD

nonn

AUTHOR

Amarnath Murthy, Jul 31 2003

EXTENSIONS

More terms from David Wasserman, Mar 14 2005

STATUS

approved