A093498 Beginning with 1, distinct numbers such that the arithmetic mean of even number of successive terms and the geometric mean of the odd number of successive terms including the first term are integers.

1, 3, 9, 7, 21609, 13, 2128622769, 5, 29112890625, 19, 11423555928191268225, 15, 44841615, 33, 85142979169268816871075, 25, 3255501249, 23, 264033433477711681299011490491522025, 35, 1230114400515, 29

Offset

1,2

Links

Table of n, a(n) for n=1..22.

Example

(1+3)/2 = 2, (1*3*9)^(1/3) = 3, (1+3+9+7)/4 = 5.

Crossrefs

Cf. A093499.

Sequence in context: A329238 A001226 A338402 * A200240 A378021 A199052

Adjacent sequences: A093495 A093496 A093497 * A093499 A093500 A093501

Keyword

less,nonn

Author

Amarnath Murthy, Apr 17 2004

Extensions

More terms from David Wasserman, Oct 25 2006

Status

approved