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Self-numbers (A003052) that are multiples of 3 but not of 9.
2

%I #12 Dec 25 2021 18:35:23

%S 3,42,75,132,165,222,255,312,345,411,435,501,525,591,615,681,714,771,

%T 804,861,894,951,984,1032,1065,1122,1155,1212,1245,1311,1335,1401,

%U 1425,1491,1515,1581,1614,1671,1704,1761,1794,1851,1884,1941,1974,2022,2055,2112,2145

%N Self-numbers (A003052) that are multiples of 3 but not of 9.

%D D. R. Kaprekar, The Mathematics of the New Self Numbers, Privately printed, 311 Devlali Camp, Devlali, India, 1963.

%H Reinhard Zumkeller, <a href="/A249046/b249046.txt">Table of n, a(n) for n = 1..1000</a>

%H D. R. Kaprekar, <a href="/A003052/a003052_2.pdf">The Mathematics of the New Self Numbers</a> [annotated and scanned]

%o (Haskell)

%o a249046 n = a249046_list !! (n-1)

%o a249046_list = filter ((> 0) . flip mod 9) a249045_list

%o -- _Reinhard Zumkeller_, Oct 31 2014

%Y Cf. A003052, A249045-A249048.

%K nonn,base

%O 1,1

%A _N. J. A. Sloane_, Oct 30 2014