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A031290 Position of n-th 3 in A007376.

3, 17, 37, 50, 52, 54, 56, 57, 58, 60, 62, 64, 66, 68, 77, 97, 117, 137, 157, 177, 201, 231, 261, 281, 284, 287, 290, 291, 293, 296, 299, 302, 305, 308, 321, 351, 381, 411, 441, 471, 501, 531, 561, 581, 584, 587, 590, 591, 593, 596

Offset: 1

Clark Kimberling

A007376(a(n)) = 3.

Reinhard Zumkeller, Table of n, a(n) for n = 1..10000

Cf. A193428; A031287, A031288, A031289, A031291, A031292, A031293, A031294, A031295, A031296.

import Data.List (elemIndices)
a031290 n = a031290_list !! (n-1)
a031290_list = map (+ 1) $ elemIndices 3 a007376_list
-- Reinhard Zumkeller, Jul 28 2011

A031291 Position of n-th 4 in A007376.

Original entry on oeis.org

4, 19, 39, 59, 70, 72, 74, 76, 78, 79, 80, 82, 84, 86, 88, 99, 119, 139, 159, 179, 204, 234, 264, 294, 311, 314, 317, 320, 323, 324, 326, 329, 332, 335, 338, 354, 384, 414, 444, 474, 504, 534, 564, 594, 611, 614, 617, 620, 623, 624

Offset: 1

Clark Kimberling

A007376(a(n)) = 4.

Reinhard Zumkeller, Table of n, a(n) for n = 1..10000

Cf. A193428; A031287, A031288, A031289, A031290, A031292, A031293, A031294, A031295, A031296.

import Data.List (elemIndices)
a031291 n = a031291_list !! (n-1)
a031291_list = map (+ 1) $ elemIndices 4 a007376_list
-- Reinhard Zumkeller, Jul 28 2011

A031292 Position of n-th 5 in A007376.

Original entry on oeis.org

5, 21, 41, 61, 81, 90, 92, 94, 96, 98, 100, 101, 102, 104, 106, 108, 121, 141, 161, 181, 207, 237, 267, 297, 327, 341, 344, 347, 350, 353, 356, 357, 359, 362, 365, 368, 387, 417, 447, 477, 507, 537, 567, 597, 627, 641, 644, 647

Offset: 1

Clark Kimberling

A007376(a(n)) = 5.

Reinhard Zumkeller, Table of n, a(n) for n = 1..10000

Cf. A193428; A031287, A031288, A031289, A031290, A031291, A031293, A031294, A031295, A031296.

import Data.List (elemIndices)
a031292 n = a031292_list !! (n-1)
a031292_list = map (+ 1) $ elemIndices 5 a007376_list
-- Reinhard Zumkeller, Jul 28 2011

A031293 Position of n-th 6 in A007376.

Original entry on oeis.org

6, 23, 43, 63, 83, 103, 110, 112, 114, 116, 118, 120, 122, 123, 124, 126, 128, 143, 163, 183, 210, 240, 270, 300, 330, 360, 371, 374, 377, 380, 383, 386, 389, 390, 392, 395, 398, 420, 450, 480, 510, 540, 570, 600, 630, 660, 671

Offset: 1

Clark Kimberling

A007376(a(n)) = 6.

Reinhard Zumkeller, Table of n, a(n) for n = 1..10000

Cf. A193428, A031287, A031288, A031289, A031290, A031291, A031292, A031294, A031295, A031296.

import Data.List (elemIndices)
a031293 n = a031293_list !! (n-1)
a031293_list = map (+ 1) $ elemIndices 6 a007376_list
-- Reinhard Zumkeller, Jul 28 2011

A031294 Position of n-th 7 in A007376.

Original entry on oeis.org

7, 25, 45, 65, 85, 105, 125, 130, 132, 134, 136, 138, 140, 142, 144, 145, 146, 148, 165, 185, 213, 243, 273, 303, 333, 363, 393, 401, 404, 407, 410, 413, 416, 419, 422, 423, 425, 428, 453, 483, 513, 543, 573, 603, 633, 663, 693

Offset: 1

Clark Kimberling

A007376(a(n)) = 7.

Reinhard Zumkeller, Table of n, a(n) for n = 1..10000

Cf. A193428; A031287, A031288, A031289, A031290, A031291, A031292, A031293, A031295, A031296.

import Data.List (elemIndices)
a031294 n = a031294_list !! (n-1)
a031294_list = map (+ 1) $ elemIndices 7 a007376_list
-- Reinhard Zumkeller, Jul 28 2011

A031295 Position of n-th 8 in A007376.

Original entry on oeis.org

8, 27, 47, 67, 87, 107, 127, 147, 150, 152, 154, 156, 158, 160, 162, 164, 166, 167, 168, 187, 216, 246, 276, 306, 336, 366, 396, 426, 431, 434, 437, 440, 443, 446, 449, 452, 455, 456, 458, 486, 516, 546, 576, 606, 636, 666, 696

Offset: 1

Clark Kimberling

A007376(a(n)) = 8.

Reinhard Zumkeller, Table of n, a(n) for n = 1..10000

Cf. A193428; A031287, A031288, A031289, A031290, A031291, A031292, A031293, A031294, A031296.

import Data.List (elemIndices)
a031295 n = a031295_list !! (n-1)
a031295_list = map (+ 1) $ elemIndices 8 a007376_list
-- Reinhard Zumkeller, Jul 28 2011

A031296 Position of n-th 9 in A007376.

Original entry on oeis.org

9, 29, 49, 69, 89, 109, 129, 149, 169, 170, 172, 174, 176, 178, 180, 182, 184, 186, 188, 189, 219, 249, 279, 309, 339, 369, 399, 429, 459, 461, 464, 467, 470, 473, 476, 479, 482, 485, 488, 489, 519, 549, 579, 609, 639, 669, 699

Offset: 1

Clark Kimberling

A007376(a(n)) = 9.

Reinhard Zumkeller, Table of n, a(n) for n = 1..10000

Cf. A007376.

Cf. A193428; A031287, A031288, A031289, A031290, A031291, A031292, A031293, A031294, A031295.

import Data.List (elemIndices)
a031296 n = a031296_list !! (n-1)
a031296_list = map (+ 1) $ elemIndices 9 a007376_list
-- Reinhard Zumkeller, Jul 28 2011

A091314 Primes in A038397 (concatenate first n squares in reverse order).

Original entry on oeis.org

41, 941, 196169144121100816449362516941

Offset: 1

M. Grete (martha.grete(AT)web.de), Feb 21 2004

Among the first 51 terms only three terms are prime: SmBackConSq(2), SmBackConSq(3), SmBackConSq(14), found by Micha Fleuren.
The next term a(4) is formed from concatenation of square of numbers from 700 to 1 and consists of 3742 digits. - Shyam Sunder Gupta, Jul 25 2013
Analogously, a(5) is probably the concatenation of squares up to 2818^2, which is a probable prime of 18269 digits, while a(6) > 10^40000. - Giovanni Resta, Jul 22 2013

M. Fleuren, Smarandache Back Concatenated Squares.

Cf. A038397.

A129185 Shift operator, left.

Original entry on oeis.org

0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0

Offset: 1

Gary W. Adamson, Apr 01 2007

Let A129185 = M, then M*V (V a vector), shifts V to the left. Example M*V, V = [1, 2, 3, ...] = [2, 3, 4, ...]. A129184 = right shift operator.

			First few rows of the matrix:
  0, 1;
  0, 0, 1;
  0, 0, 0, 1;
  0, 0, 0, 0, 1;
  ...

Franck Ramaharo, A bracket polynomial for 2-tangle shadows, arXiv:2002.06672 [math.CO], 2020.

Cf. A129184, A129186.

Table[PadLeft[{1},n,0],{n,20}]//Flatten//Rest (* Harvey P. Dale, Jul 11 2020 *)

As an infinite matrix, all 1's in the superdiagonal and the rest zeros.

A137757 Nontrivial elements in writing the denominator of an element first and then the numerator of that element (left to right) of Leibniz's harmonic-like triangle. That is, the nontrivial elements of A137753.

Original entry on oeis.org

2, 2, 3, 6, 5, 3, 4, 12, 7, 12, 7, 4, 5, 20, 9, 30, 31, 20, 9, 5, 6, 30, 11, 60, 49, 60, 49, 30, 11, 6, 7, 42, 13, 105, 71, 140, 209, 105, 71, 42, 13, 7, 8, 56, 15, 168, 97, 280, 351, 280, 351, 168, 97, 56, 15, 8, 9, 72, 17, 252, 127, 504, 545, 630, 1471

Offset: 1

Mohammad K. Azarian, Feb 10 2008

			1/1; -->
1/2, 1/2; --> 2 2
1/3, 5/6, 1/3; --> 3 6 5 3
1/4, 7/12, 7/12, 1/4; --> ...
1/5, 9/20, 31/30, 9/20, 1/5;

Cf. A003506; A007622; A046201; A046204; A046205; A046206; A046208; A046212; A137752; A137753; A137754; A137755; A137756.

cp's OEIS Frontend

A031290 Position of n-th 3 in A007376.

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A031291 Position of n-th 4 in A007376.

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A031292 Position of n-th 5 in A007376.

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A031293 Position of n-th 6 in A007376.

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A031294 Position of n-th 7 in A007376.

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A031295 Position of n-th 8 in A007376.

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A031296 Position of n-th 9 in A007376.

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A091314 Primes in A038397 (concatenate first n squares in reverse order).

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A129185 Shift operator, left.

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