A144777 Integers having decimal digital mean equal to zero.

18, 27, 36, 45, 54, 63, 72, 81, 90, 1089, 1098, 1179, 1188, 1197, 1269, 1278, 1287, 1296, 1359, 1368, 1377, 1386, 1395, 1449, 1458, 1467, 1476, 1485, 1494, 1539, 1548, 1557, 1566, 1575, 1584, 1593, 1629, 1638, 1647, 1656, 1665, 1674, 1683, 1692, 1719

Offset

1,1

Comments

Define the digital mean of n in base b, dm(b, n), to be (Sum_{i=1..d} 2*d_i - (b-1)) / (2*d), where d is the number of digits in the base b representation of n and d_i the individual digits.

a(n) is the subset of multiples of nine for which dm(10, n) = 0; that is, two times the sum of the digits is equal to nine times the number of digits.

Links

Table of n, a(n) for n=1..45.

Crossrefs

Cf. A007953, A008591.

Sequence in context: A090064 A082804 A262277 * A296130 A284811 A257001

Adjacent sequences: A144774 A144775 A144776 * A144778 A144779 A144780

Keyword

base,easy,nonn

Author

Reikku Kulon, Sep 21 2008

Status

approved