Search: id:A013583 Results 1-1 of 1 results found. %I A013583 %S A013583 1,3,8,16,24,37,58,63,97,105,152,160,168,249,257,270,406,401,435,448,440, 647,1011,673,723,715,1066,1058,1050,1092,1160,1147,1694, %T A013583 1155,1710,1702,2647,1846,1765,1854,2736,1867,2757,2744,2841,2990,2752, 2854,2985,3019,4511,3032,6967,4456,3024,4477,4616,4451,7349,4629, %U A013583 7218,4917,4621,4854,4904,7179,7166,4896,7200,7247,7310,7213,7831,8187, 7488,7205,11614,7480,7815,7857,7925,11593,18154,7912,11813,11682, 11653 %N A013583 Smallest positive number that can be written as sum of distinct Fibonacci numbers in n ways. %C A013583 Smallest nonnegative number that can be written as sum of distinct Fibonacci numbers in n ways would be the same, except starting with 0. %D A013583 Marjorie Bicknell-Johnson and Daniel C. Fielder, "The Least Number Having 331 Representations as a Sum of Distinct Fibonacci Numbers," Fibonacci Quarterly 39(2001), pp. 455-461. %D A013583 Daniel C. Fielder and Marjorie Bicknell-Johnson, "The First 330 Terms of Sequence A013583", Fibonacci Quarterly 39 (2001), pp. 75-84. %D A013583 Paul K. Stockmeyer, "A Smooth Tight Upper Bound for the Fibonacci Representation Function R(N)", Fibonacci Quarterly, Volume 46/47, Number 2, May 2009. [From Gary W. Adamson (qntmpkt(AT)yahoo.com), Jun 04 2009] %H A013583 Charles R Greathouse IV, Table of n, a(n) for n = 1..5000 %F A013583 A000119(a(n)) = n (for n>1). %e A013583 1 = 1; 3 = 3 = 2 + 1; 8 = 8 = 5 + 3 = 5 + 2 + 1. %Y A013583 Least inverse of A000119. Cf. A046815, A083853. %Y A013583 Sequence in context: A136532 A030417 A123979 this_sequence A122794 A115006 A122796 %Y A013583 Adjacent sequences: A013580 A013581 A013582 this_sequence A013584 A013585 A013586 %K A013583 nonn %O A013583 1,2 %A A013583 Marjorie Bicknell-Johnson (marjohnson(AT)earthlink.net) %E A013583 Additional terms from Jeffrey Shallit (shallit(AT)graceland.uwaterloo.ca); extended to 600 terms by Daniel C. Fielder %E A013583 Entries rechecked by David W. Wilson, Jun 18 2003 Search completed in 0.001 seconds