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 A118235 Smallest positive number starting an interval of consecutive integers with element sum n. 11
 1, 2, 1, 4, 2, 1, 3, 8, 2, 1, 5, 3, 6, 2, 1, 16, 8, 3, 9, 2, 1, 4, 11, 7, 3, 5, 2, 1, 14, 4, 15, 32, 3, 7, 2, 1, 18, 8, 4, 6, 20, 3, 21, 2, 1, 10, 23, 15, 4, 8, 6, 3, 26, 2, 1, 5, 7, 13, 29, 4, 30, 14, 3, 64, 2, 1, 33, 5, 9, 7, 35, 4, 36, 17, 3, 6, 2, 1, 39, 14, 5, 19, 41, 7, 4, 20, 12, 3, 44, 2, 1, 8 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Right border of A299765. - Omar E. Pol, Jul 24 2018 LINKS Alois P. Heinz, Table of n, a(n) for n = 1..20000 (first 1000 terms from Paul D. Hanna) FORMULA A109814(n) * (A109814(n) + 2*a(n) - 1) / 2 = n. a(m) = n iff m = 2^k: a(A000079(n)) = A000079(n); a(m) = 1 iff m = k*(k+1)/2: a(A000217(n)) = 1. a(A002817(n-1)+1) = n; i.e., a(m) = n if m = k*(k-1)/2 + 1 and k = n*(n-1)/2 + 1. - Paul D. Hanna, Oct 28 2011 EXAMPLE a(3)=1 since 3 = 1+2; a(5)=2 since 5 = 2+3; a(6)=1 since 6 = 1+2+3; etc. MAPLE a:= proc(n) local j, k, s; j, k, s:= 1\$3;       do if s=n then break fi;          if s

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Last modified January 23 06:15 EST 2019. Contains 319374 sequences. (Running on oeis4.)