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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 * A106876 A034477 A140803

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

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Last modified April 24 05:31 EDT 2014. Contains 240953 sequences.