login
This site is supported by donations to The OEIS Foundation.

 

Logo

Annual Appeal: Please make a donation (tax deductible in USA) to keep the OEIS running. Over 5000 articles have referenced us, often saying "we discovered this result with the help of the OEIS".

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A118166 Smallest term in the Hofstadter sequence A005243 having exactly n representations as sum of consecutive earlier terms. 3
1, 3, 11, 43, 35, 162, 311, 1203, 2405, 2769, 4257, 5772, 9639, 18711, 13860, 40635, 39270, 61425, 45045, 75075, 107415, 53865, 159075, 239085, 197505, 225225, 137445, 621621, 373065, 634095, 812175, 412335, 1036035, 1119195, 883575, 1673595 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

a(n) = A005243(A118165(n)).

LINKS

Table of n, a(n) for n=0..35.

Eric Weisstein's World of Mathematics, Hofstadter Sequences

EXAMPLE

a(8) = A005243(A118165(8)) = A005243(2210) = 2405:

#1: 1203 + 1202 = Sum(A005243[1049:1050]) = 2405,

#2: 803 + 802 + 800 = Sum(A005243[671:673]) = 2405,

#3: 483 + 482 + 481 + 480 + 479 = Sum(A005243[382:386]),

#4: 306 + 304 + 302 + 301 + 300 + 299 + 297 + 296 =

Sum(A005243[224:231]) = 2405,

#5: 224 + 223 + 222 + 221 + 220 + 219 + 218 + 216 + 215 +

214 + 213 = Sum(A005243[153:163]) = 2405,

#6: 145 + 143 + 142 + 141 + 140 + 139 + 138 + 137 + 135 +

134 + 132 + 130 + 129 + 127 + 126 + 124 + 122 + 121 =

Sum(A005243[82:99]) = 2405,

#7: 129 + 127 + 126 + 124 + 122 + 121 + 119 + 118 + 117 +

116 + 115 + 113 + 112 + 111 + 110 + 108 + 106 + 105 +

104 + 102 + 100 = Sum(A005243[67:87]) = 2405,

#8: 95 + 94 + 93 + 92 + 91 + 90 + 88 + 87 + 86 + 84 + 82 +

81 + 80 + 78 + 77 + 76 + 75 + 73 + 72 + 71 + 70 + 69 + 68 +

67 + 65 + 62 + 60 + 59 + 58 + 57 + 54 + 51 =

Sum(A005243[32:63]) = 2405.

CROSSREFS

Cf. A118164.

Sequence in context: A200212 A149070 A066655 * A277888 A249568 A106876

Adjacent sequences:  A118163 A118164 A118165 * A118167 A118168 A118169

KEYWORD

nonn

AUTHOR

Reinhard Zumkeller, Apr 13 2006

EXTENSIONS

a(15)-a(35) from Donovan Johnson, Feb 16 2011

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 | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy .

Last modified December 11 08:48 EST 2016. Contains 279048 sequences.