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A090962
Least multiple of n such that the n-th partial sum is an n-th power with the condition that a(n+1) exists.
1
1, 8, 207, 40, 7520, 38880, 2050496, 14680064, 983222784, 9000000000, 733008370688, 8173092077568, 784798672805888, 10318292052303872, 1141809497781288960, 1025031833202524160, 2183733606400887160832
OFFSET
1,2
EXAMPLE
a(2) = 8, yielding the 2nd partial sum 1 + 8 = 9 = 3^2.
a(3) cannot be j^3 - 9 for j = 3, 4, or 5, because there would be no number k such that j^3 + 4k = is a 4th power; thus, a(3) = 207, yielding the 3rd partial sum 9 + 207 = 216 = 6^3 (and a(4) = 4^4 - 6^3 = 40).
CROSSREFS
Cf. A090963.
Sequence in context: A204247 A063856 A367540 * A359281 A359452 A330287
KEYWORD
nonn
AUTHOR
Amarnath Murthy, Jan 02 2004
EXTENSIONS
More terms from David Wasserman, Feb 23 2006
STATUS
approved