A249989 Numbers representable as x^y * y + y, where x>1 and y>1 are integers.

10, 20, 27, 34, 52, 68, 74, 84, 100, 130, 164, 165, 195, 202, 244, 290, 328, 340, 378, 390, 394, 452, 514, 580, 650, 651, 724, 802, 884, 903, 970, 1028, 1032, 1060, 1154, 1220, 1252, 1354, 1460, 1539, 1570, 1684, 1802, 1924, 2050, 2056

Offset: 1

Author

Alex Ratushnyak, Jan 11 2015

Keywords

• nonn

Comments

The sequence of numbers z such that both z and z+1 are in the sequence begins:

164, 650, 5187, 41474, 472394, 2654210, 10125002, 21233667, 30233090, 76236554, 169869314, 344373770, 648000002

Examples

			a(1) = 10 = 2^2 * 2 + 2.
a(2) = 20 = 3^2 * 2 + 2.
a(3) = 27 = 2^3 * 3 + 3.
a(9) = 100 = 7^2 * 2 + 2.
a(11) = 164 = 9^2 * 2 + 2.
a(12) = 165 = 2^5 * 5 + 5.