A118166 Smallest term in the Hofstadter sequence A005243 having exactly n representations as sum of consecutive earlier terms.

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

Offset: 0

Author

Reinhard Zumkeller, Apr 13 2006

Keywords

• nonn

Comments

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

Examples

			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.
		

Links

• Eric Weisstein's World of Mathematics, Hofstadter Sequences

Crossrefs

Cf. A118164.

Extensions

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