A175819 Partial sums of digits of decimal expansion of Khinchin's constant (sequence A002210).
2, 8, 16, 21, 25, 30, 32, 32, 32, 33, 33, 39, 44, 47, 47, 53, 57, 61, 66, 69, 69, 78, 85, 86, 90, 98, 101, 106, 110, 118, 119, 126, 135, 140, 146, 155, 158, 166, 168, 168, 171, 179, 181, 183, 192, 195, 204, 213, 217, 221, 227, 229, 238, 243, 246, 246, 251, 252, 253
Offset: 1
Examples
Khinchin's constant 2.6854520010 ... so the sums are 2, 2+6, 2+6+8, 2+6+8+5, 2+6+8+5+4..., leading to the terms 2, 8, 16, 21, 25,...
Crossrefs
Cf. A002210 for digits of Khintchine's constant
Programs
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Mathematica
L= Rest@FoldList[ Plus, 0, First@ RealDigits[Khinchin, 10, 100]] Accumulate[RealDigits[Khinchin,10,60][[1]]] (* Harvey P. Dale, Mar 24 2011 *)