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A176718 Partial sums of A004207. 1
1, 2, 4, 8, 16, 32, 55, 83, 121, 170, 232, 302, 379, 470, 571, 674, 781, 896, 1018, 1145, 1282, 1430, 1591, 1760, 1945, 2144, 2362, 2591, 2833, 3083, 3340, 3611, 3892, 4184, 4489, 4802, 5122, 5447, 5782, 6128, 6487, 6863, 7255, 7661, 8077, 8504, 8944, 9392 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Partial sums of a(1) = 1, a(n) = sum of digits of all previous terms. The subsequence of primes in this sequence begins: 2, 83, 379, 571, 2591, 2833, 3083, 6863, 10831. The subsequence of squares in this sequence begins: 1, 4, 16, 121, 4489.

LINKS

Table of n, a(n) for n=0..47.

FORMULA

a(n) = SUM[i=0..n] A004207(i) = SUM[i=0..n] {b(1) = 1, b(j) = sum of digits of b(j) for j = 0..i} = SUM[i=0..n] {b(1) = 1, b(k) = A007953(b(k)) for k = 0..i}.

EXAMPLE

a(7) = 1 + 1 + 2 + 4 + 8 + 16 + 23 + 28 = 83 is prime.

MAPLE

A176718 := proc(n)

    add( A004207(k), k=0..n) ;

end proc: # R. J. Mathar, Apr 02 2014

CROSSREFS

Cf. A004207, A016052, A033298, A007612.

Sequence in context: A007055 A175951 A072207 * A033860 A231388 A229614

Adjacent sequences:  A176715 A176716 A176717 * A176719 A176720 A176721

KEYWORD

base,easy,nonn

AUTHOR

Jonathan Vos Post, Apr 25 2010

STATUS

approved

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Last modified June 20 05:01 EDT 2019. Contains 324229 sequences. (Running on oeis4.)