A016052 -id:A016052 - cp's OEIS frontend

A176718 Partial sums of A004207.

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

Offset: 0

Jonathan Vos Post, Apr 25 2010

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.

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

Cf. A004207, A016052, A033298, A007612.

A176718 := proc(n)
    add( A004207(k),k=0..n) ;
end proc: # R. J. Mathar, Apr 02 2014

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}.

A036230 a(n+1) = a(n) + sum of digits of a(n) starting with 110.

Original entry on oeis.org

110, 112, 116, 124, 131, 136, 146, 157, 170, 178, 194, 208, 218, 229, 242, 250, 257, 271, 281, 292, 305, 313, 320, 325, 335, 346, 359, 376, 392, 406, 416, 427, 440, 448, 464, 478, 497, 517, 530, 538, 554, 568, 587, 607, 620, 628, 644, 658, 677, 697, 719

Offset: 1

Miklos SZABO (mike(AT)ludens.elte.hu)

Elements >= 218 can be found in A004207.

Cf. A004207, A016052, A007618, A006507, A016052.

NestList[#+Total[IntegerDigits[#]]&,110,50] (* Harvey P. Dale, Oct 01 2017 *)

A036231 a(n+1) = a(n) + sum of digits of a(n) starting with 121.

Original entry on oeis.org

121, 125, 133, 140, 145, 155, 166, 179, 196, 212, 217, 227, 238, 251, 259, 275, 289, 308, 319, 332, 340, 347, 361, 371, 382, 395, 412, 419, 433, 443, 454, 467, 484, 500, 505, 515, 526, 539, 556, 572, 586, 605, 616, 629, 646, 662, 676, 695, 715, 728, 745

Offset: 1

Miklos SZABO (mike(AT)ludens.elte.hu)

Elements >= 1003 can be found in A004207.

Cf. A004207, A016052, A007618, A006507, A016052.

A036232 a(n+1) = a(n) + sum of digits of a(n) starting with 211.

Original entry on oeis.org

211, 215, 223, 230, 235, 245, 256, 269, 286, 302, 307, 317, 328, 341, 349, 365, 379, 398, 418, 431, 439, 455, 469, 488, 508, 521, 529, 545, 559, 578, 598, 620, 628, 644, 658, 677, 697, 719, 736, 752, 766, 785, 805, 818, 835, 851, 865, 884, 904, 917, 934

Offset: 1

Miklos SZABO (mike(AT)ludens.elte.hu)

Elements >= 317 can be found in A007618.

Cf. A004207, A016052, A007618, A006507, A016052.

NestList[#+Total[IntegerDigits[#]]&,211,50] (* Harvey P. Dale, Jul 16 2020 *)

cp's OEIS Frontend

A176718 Partial sums of A004207.

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A036230 a(n+1) = a(n) + sum of digits of a(n) starting with 110.

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A036231 a(n+1) = a(n) + sum of digits of a(n) starting with 121.

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A036232 a(n+1) = a(n) + sum of digits of a(n) starting with 211.

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