A340470 Two adjacent integers sum up to a term of A036301.

0, 112, 9, 103, 18, 94, 27, 85, 36, 76, 45, 67, 54, 58, 63, 49, 72, 40, 81, 31, 90, 22, 99, 13, 108, 4, 117, 17, 95, 26, 86, 35, 77, 44, 68, 53, 59, 62, 50, 71, 41, 80, 32, 89, 23, 98, 14, 107, 5, 116, 198, 138, 73, 39, 82, 30, 91, 21, 100, 12, 109, 3, 118, 16, 96, 25

Offset

1,2

Comments

This is the lexicographically earliest sequence of distinct nonnegative terms with this property.

Links

Carole Dubois, Table of n, a(n) for n = 1..10002

Example

a(1) + a(2) = 0 + 112 = 112 (a term of A036301);
a(2) + a(3) = 112 + 9 = 121 (a term of A036301);
a(3) + a(4) = 9 + 103 = 112;
a(4) + a(5) = 103 + 18 = 121; etc.

Prog

(Magma) f:=func<n|&+[(-1)^c*c:c in Intseq(n)] eq 0>; a:=[0]; for n in [2..80] do k:=1; while k in a or not f(k+a[n-1]) do k:=k+1; end while; Append(~a, k); end for; a; // Marius A. Burtea, Jan 12 2021

Crossrefs

Cf. A036301 (even digits sum = odd digits sum).

Sequence in context: A292155 A341011 A103849 * A010032 A190026 A129947

Adjacent sequences: A340467 A340468 A340469 * A340471 A340472 A340473

Keyword

base,nonn

Author

Eric Angelini and Carole Dubois, Jan 08 2021

Status

approved