This site is supported by donations to The OEIS Foundation. Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A144642 Positive numbers that are not the sum of a triangular number, a square and a Fibonacci number. 4
 3970902, 39022919, 102132857, 110468517, 368495972, 391099413, 395147912, 421129348, 452808398, 776218485, 1005771844, 1485470432, 3038310485, 3263773338, 3485976107, 3640901241, 3758331463, 3784200441, 3944795435 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Prompted by a conjecture of Zhi-Wei SUN (now known not to be true) that every number can be written in the stated form. A number n = x^2 + y*(y+1)/2 + F_m if and only if 8*n+1 = 8*x^2 + (2*y+1)^2 + 8*F_m, if and only if 8*n + 1 - 8*F_m = 8*x^2 + (2*y+1)^2 for some m >= 0. Now if M == 1 (mod 8) (e.g. M = 8*n + 1 -8*F_m), then M = 8*x^2 + (2*y+1)^2 if and only if the exact prime-power exponent of each prime p == 5 or 7 (mod 8) which divides M is even. a(10) was found by D. S. McNeil in 12/2008. LINKS Donovan Johnson, Table of n, a(n) for n = 1..101 (terms < 4*10^10) Zhi-Wei SUN, Posting to Number Theory List, Dec 21 2008 CROSSREFS See A115171 for another version. Sequence in context: A251071 A184562 A115171 * A032753 A047987 A234798 Adjacent sequences:  A144639 A144640 A144641 * A144643 A144644 A144645 KEYWORD nonn AUTHOR Kurt Foster (drsardonicus(AT)earthlink.net), Jan 25 2009 EXTENSIONS Definition corrected and a(3)-a(19) from Donovan Johnson, Oct 24 2009 STATUS approved

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

Last modified June 17 19:10 EDT 2019. Contains 324198 sequences. (Running on oeis4.)