The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A263772 Perimeters of integer-sided scalene triangles. 0
 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS All natural numbers larger than 8 except 10. Equivalently, numbers n that can be partitioned into three distinct parts a, b, and c, where a + b > c, a + c > b, and b + c > a (or, without loss of generality, into (a, b, c) with a < b < c < a + b). A subsequence of A009005. The unique terms in A107576. For k > 2, (k-1, k, k+1) gives perimeter 3k and (k-1, k+1, k+2) gives perimeter 3k + 2. For k > 3, the scalene triangle (k-1, k, k+2) has perimeter 3k + 1. LINKS Table of n, a(n) for n=1..70. FORMULA a(n) = n + 9 for n > 1. EXAMPLE The integer-sided scalene triangle of least perimeter has sides of lengths 2, 3, and 4, so a(1) = 2 + 3 + 4 = 9. PROG (PARI) vector(100, n, if(n==1, 9, n+9)) \\ Altug Alkan, Oct 28 2015 CROSSREFS Cf. A005044, A009005, A107572, A107576. Sequence in context: A098728 A233408 A107576 * A031954 A043631 A043698 Adjacent sequences: A263769 A263770 A263771 * A263773 A263774 A263775 KEYWORD nonn,easy AUTHOR Rick L. Shepherd, Oct 27 2015 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified September 23 03:16 EDT 2023. Contains 365532 sequences. (Running on oeis4.)