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A249989
Numbers representable as x^y * y + y, where x>1 and y>1 are integers.
1
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
1,1
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
EXAMPLE
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.
CROSSREFS
Sequence in context: A101869 A015872 A019491 * A175229 A242964 A063117
KEYWORD
nonn
AUTHOR
Alex Ratushnyak, Jan 11 2015
STATUS
approved