A270306 Smallest number which is representable as a sum of n but no fewer consecutive nonnegative integers, or 0 for n > 1 if no such number exists.

0, 1, 6, 10, 20, 0, 28, 44, 0, 0, 88, 0, 104, 0, 0, 136, 272, 0, 304, 0, 0, 0, 368, 0, 0, 0, 0, 0, 464, 0, 496, 592, 0, 0, 0, 0, 1184, 0, 0, 0, 1312, 0, 1376, 0, 0, 0, 1504, 0, 0, 0, 0, 0, 1696, 0, 0, 0, 0, 0, 1888, 0, 1952, 0, 0, 2144, 0, 0, 4288, 0, 0, 0, 4544

Offset

1,3

Links

Ray Chandler, Table of n, a(n) for n = 1..10000

Formula

a(A111774(n)) = 0.

a(A174090(n)) = A163172(n).

Example

a(2) = 1 = 0 + 1 (two but no fewer terms)
a(3) = 6 = 1 + 2 + 3 (three but no fewer terms)
a(4) = 10 = 1 + 2 + 3 + 4 (four but no fewer terms)
a(5) = 20 = 2 + 3 + 4 + 5 + 6 (five but no fewer terms)
a(6) = 0, since no number needs six but no fewer terms
a(7) = 28 = 1 + 2 + 3 + 4 + 5 + 6 + 7 (seven but no fewer terms)

Crossrefs

Cf. A138591, A163172, A270296 to A270303.

Sequence in context: A109312 A257858 A095985 * A327410 A145351 A227874

Adjacent sequences: A270303 A270304 A270305 * A270307 A270308 A270309

Keyword

nonn

Author

Martin Renner, Mar 14 2016

Status

approved