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A342371 Partial sums of A051697. 0
2, 4, 6, 9, 12, 17, 22, 29, 36, 43, 54, 65, 76, 89, 102, 115, 132, 149, 166, 185, 204, 223, 246, 269, 292, 315, 338, 367, 396, 425, 454, 485, 516, 547, 578, 615, 652, 689, 726, 763, 804, 845, 886, 929, 972, 1015, 1062, 1109, 1156, 1203, 1250, 1303, 1356, 1409 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Table of n, a(n) for n=0..53.

FORMULA

a(n) = a(n-1) + A051697(n).

EXAMPLE

n=1, closest prime is 2, add 2; a(1) = 2 + 2 = 4;

n=2, closest prime is 2, add 2; a(2) = 4 + 2 = 6;

n=3, closest prime is 3, add 3; a(3) = 6 + 3 = 9;

n=4, closest prime is 3 (taking the smaller of the equal closest primes 3 and 5, as per A051697), add 3 - a(4) = 9 + 3 = 12.

MATHEMATICA

Accumulate@ Table[MinimalBy[Prime[If[n < 2, 1, PrimePi[n]] + {0, 1}], Abs[n - #] &][[1]], {n, 0, 53}] (* Michael De Vlieger, Mar 12 2021 *)

CROSSREFS

Sequence in context: A194450 A080556 A229093 * A064985 A090631 A001365

Adjacent sequences:  A342368 A342369 A342370 * A342372 A342373 A342374

KEYWORD

nonn

AUTHOR

Zeljko Vranic, Mar 09 2021

STATUS

approved

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Last modified July 28 09:32 EDT 2021. Contains 346325 sequences. (Running on oeis4.)